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Finding the Fourth Proportional to 501.66, 748.78 and 470.88

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Solution

The fourth proportional to 501.66, 748.78 and 470.88 is: 702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.66 : 748.78 = 470.88 : x
  2. Step 2: Convert to fraction form
    501.66/748.78 = 470.88/x
  3. Step 3: Cross multiply
    501.66x = 748.78 × 470.88
  4. Step 4: Simplify right side
    501.66x = 352,585.53
  5. Step 5: Solve for x
    x = 352,585.53/501.66
  6. Step 6: Final answer
    x = 702.84

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.