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Finding the Fourth Proportional to 486.74, 727.14 and 478.10

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Solution

The fourth proportional to 486.74, 727.14 and 478.10 is: 714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.74 : 727.14 = 478.10 : x
  2. Step 2: Convert to fraction form
    486.74/727.14 = 478.10/x
  3. Step 3: Cross multiply
    486.74x = 727.14 × 478.10
  4. Step 4: Simplify right side
    486.74x = 347,649.24
  5. Step 5: Solve for x
    x = 347,649.24/486.74
  6. Step 6: Final answer
    x = 714.24

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Double scale
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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.