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Finding the Fourth Proportional to 865.72, 1,194.68 and 472.76

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Solution

The fourth proportional to 865.72, 1,194.68 and 472.76 is: 652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.72 : 1,194.68 = 472.76 : x
  2. Step 2: Convert to fraction form
    865.72/1,194.68 = 472.76/x
  3. Step 3: Cross multiply
    865.72x = 1,194.68 × 472.76
  4. Step 4: Simplify right side
    865.72x = 564,796.92
  5. Step 5: Solve for x
    x = 564,796.92/865.72
  6. Step 6: Final answer
    x = 652.40

Related Problems

Find fourth proportional to 432.86, 597.34 and 236.38
Half scale
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Double scale
Find fourth proportional to 866.72, 1,196.06 and 473.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.