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Finding the Fourth Proportional to 497.56, 741.16 and 479.74

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Solution

The fourth proportional to 497.56, 741.16 and 479.74 is: 714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.56 : 741.16 = 479.74 : x
  2. Step 2: Convert to fraction form
    497.56/741.16 = 479.74/x
  3. Step 3: Cross multiply
    497.56x = 741.16 × 479.74
  4. Step 4: Simplify right side
    497.56x = 355,564.10
  5. Step 5: Solve for x
    x = 355,564.10/497.56
  6. Step 6: Final answer
    x = 714.62

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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.