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Finding the Fourth Proportional to 865.50, 1,297.18 and 432.78

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Solution

The fourth proportional to 865.50, 1,297.18 and 432.78 is: 648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.50 : 1,297.18 = 432.78 : x
  2. Step 2: Convert to fraction form
    865.50/1,297.18 = 432.78/x
  3. Step 3: Cross multiply
    865.50x = 1,297.18 × 432.78
  4. Step 4: Simplify right side
    865.50x = 561,396.53
  5. Step 5: Solve for x
    x = 561,396.53/865.50
  6. Step 6: Final answer
    x = 648.64

Related Problems

Find fourth proportional to 432.75, 648.59 and 216.39
Half scale
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Double scale
Find fourth proportional to 866.50, 1,298.67 and 433.78
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.