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Finding the Fourth Proportional to 512.46, 705.51 and 458.82

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Solution

The fourth proportional to 512.46, 705.51 and 458.82 is: 631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.46 : 705.51 = 458.82 : x
  2. Step 2: Convert to fraction form
    512.46/705.51 = 458.82/x
  3. Step 3: Cross multiply
    512.46x = 705.51 × 458.82
  4. Step 4: Simplify right side
    512.46x = 323,702.10
  5. Step 5: Solve for x
    x = 323,702.10/512.46
  6. Step 6: Final answer
    x = 631.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.