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Finding the Fourth Proportional to 460.47, 689.58 and 411.87

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Solution

The fourth proportional to 460.47, 689.58 and 411.87 is: 616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.47 : 689.58 = 411.87 : x
  2. Step 2: Convert to fraction form
    460.47/689.58 = 411.87/x
  3. Step 3: Cross multiply
    460.47x = 689.58 × 411.87
  4. Step 4: Simplify right side
    460.47x = 284,017.31
  5. Step 5: Solve for x
    x = 284,017.31/460.47
  6. Step 6: Final answer
    x = 616.80

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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.