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Finding the Fourth Proportional to 460.29, 687.50 and 457.89

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Solution

The fourth proportional to 460.29, 687.50 and 457.89 is: 683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.29 : 687.50 = 457.89 : x
  2. Step 2: Convert to fraction form
    460.29/687.50 = 457.89/x
  3. Step 3: Cross multiply
    460.29x = 687.50 × 457.89
  4. Step 4: Simplify right side
    460.29x = 314,800.52
  5. Step 5: Solve for x
    x = 314,800.52/460.29
  6. Step 6: Final answer
    x = 683.92

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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.