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Finding the Fourth Proportional to 457.30, 687.30 and 397.90

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Solution

The fourth proportional to 457.30, 687.30 and 397.90 is: 598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.30 : 687.30 = 397.90 : x
  2. Step 2: Convert to fraction form
    457.30/687.30 = 397.90/x
  3. Step 3: Cross multiply
    457.30x = 687.30 × 397.90
  4. Step 4: Simplify right side
    457.30x = 273,476.67
  5. Step 5: Solve for x
    x = 273,476.67/457.30
  6. Step 6: Final answer
    x = 598.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.