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Finding the Fourth Proportional to 457.53, 689.18 and 416.66

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Solution

The fourth proportional to 457.53, 689.18 and 416.66 is: 627.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.53 : 689.18 = 416.66 : x
  2. Step 2: Convert to fraction form
    457.53/689.18 = 416.66/x
  3. Step 3: Cross multiply
    457.53x = 689.18 × 416.66
  4. Step 4: Simplify right side
    457.53x = 287,154.82
  5. Step 5: Solve for x
    x = 287,154.82/457.53
  6. Step 6: Final answer
    x = 627.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.