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Finding the Fourth Proportional to 459.90, 686.25 and 457.20

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Solution

The fourth proportional to 459.90, 686.25 and 457.20 is: 682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.90 : 686.25 = 457.20 : x
  2. Step 2: Convert to fraction form
    459.90/686.25 = 457.20/x
  3. Step 3: Cross multiply
    459.90x = 686.25 × 457.20
  4. Step 4: Simplify right side
    459.90x = 313,753.50
  5. Step 5: Solve for x
    x = 313,753.50/459.90
  6. Step 6: Final answer
    x = 682.22

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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.