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Finding the Fourth Proportional to 462.30, 637.47 and 457.62

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Solution

The fourth proportional to 462.30, 637.47 and 457.62 is: 631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.30 : 637.47 = 457.62 : x
  2. Step 2: Convert to fraction form
    462.30/637.47 = 457.62/x
  3. Step 3: Cross multiply
    462.30x = 637.47 × 457.62
  4. Step 4: Simplify right side
    462.30x = 291,719.02
  5. Step 5: Solve for x
    x = 291,719.02/462.30
  6. Step 6: Final answer
    x = 631.02

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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.