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Finding the Fourth Proportional to 457.54, 687.14 and 420.91

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Solution

The fourth proportional to 457.54, 687.14 and 420.91 is: 632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.54 : 687.14 = 420.91 : x
  2. Step 2: Convert to fraction form
    457.54/687.14 = 420.91/x
  3. Step 3: Cross multiply
    457.54x = 687.14 × 420.91
  4. Step 4: Simplify right side
    457.54x = 289,224.10
  5. Step 5: Solve for x
    x = 289,224.10/457.54
  6. Step 6: Final answer
    x = 632.13

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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.