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Finding the Fourth Proportional to 865.06, 1,297.59 and 499.63

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Solution

The fourth proportional to 865.06, 1,297.59 and 499.63 is: 749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.06 : 1,297.59 = 499.63 : x
  2. Step 2: Convert to fraction form
    865.06/1,297.59 = 499.63/x
  3. Step 3: Cross multiply
    865.06x = 1,297.59 × 499.63
  4. Step 4: Simplify right side
    865.06x = 648,314.89
  5. Step 5: Solve for x
    x = 648,314.89/865.06
  6. Step 6: Final answer
    x = 749.45

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Half scale
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Double scale
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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.