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Finding the Fourth Proportional to 545.76, 813.24 and 524.88

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Solution

The fourth proportional to 545.76, 813.24 and 524.88 is: 782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 813.24 = 524.88 : x
  2. Step 2: Convert to fraction form
    545.76/813.24 = 524.88/x
  3. Step 3: Cross multiply
    545.76x = 813.24 × 524.88
  4. Step 4: Simplify right side
    545.76x = 426,853.41
  5. Step 5: Solve for x
    x = 426,853.41/545.76
  6. Step 6: Final answer
    x = 782.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.