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Finding the Fourth Proportional to 545.34, 753.39 and 497.82

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Solution

The fourth proportional to 545.34, 753.39 and 497.82 is: 687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.34 : 753.39 = 497.82 : x
  2. Step 2: Convert to fraction form
    545.34/753.39 = 497.82/x
  3. Step 3: Cross multiply
    545.34x = 753.39 × 497.82
  4. Step 4: Simplify right side
    545.34x = 375,052.61
  5. Step 5: Solve for x
    x = 375,052.61/545.34
  6. Step 6: Final answer
    x = 687.74

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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.