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Finding the Fourth Proportional to 545.70, 753.04 and 312.82

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Solution

The fourth proportional to 545.70, 753.04 and 312.82 is: 431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.70 : 753.04 = 312.82 : x
  2. Step 2: Convert to fraction form
    545.70/753.04 = 312.82/x
  3. Step 3: Cross multiply
    545.70x = 753.04 × 312.82
  4. Step 4: Simplify right side
    545.70x = 235,565.97
  5. Step 5: Solve for x
    x = 235,565.97/545.70
  6. Step 6: Final answer
    x = 431.68

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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.