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Finding the Fourth Proportional to 460.17, 687.02 and 417.11

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Solution

The fourth proportional to 460.17, 687.02 and 417.11 is: 622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.17 : 687.02 = 417.11 : x
  2. Step 2: Convert to fraction form
    460.17/687.02 = 417.11/x
  3. Step 3: Cross multiply
    460.17x = 687.02 × 417.11
  4. Step 4: Simplify right side
    460.17x = 286,557.39
  5. Step 5: Solve for x
    x = 286,557.39/460.17
  6. Step 6: Final answer
    x = 622.72

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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.