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Finding the Fourth Proportional to 497.30, 741.89 and 457.12

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Solution

The fourth proportional to 497.30, 741.89 and 457.12 is: 681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.30 : 741.89 = 457.12 : x
  2. Step 2: Convert to fraction form
    497.30/741.89 = 457.12/x
  3. Step 3: Cross multiply
    497.30x = 741.89 × 457.12
  4. Step 4: Simplify right side
    497.30x = 339,136.47
  5. Step 5: Solve for x
    x = 339,136.47/497.30
  6. Step 6: Final answer
    x = 681.96

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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.