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Finding the Fourth Proportional to 545.66, 813.88 and 463.58

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Solution

The fourth proportional to 545.66, 813.88 and 463.58 is: 691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.66 : 813.88 = 463.58 : x
  2. Step 2: Convert to fraction form
    545.66/813.88 = 463.58/x
  3. Step 3: Cross multiply
    545.66x = 813.88 × 463.58
  4. Step 4: Simplify right side
    545.66x = 377,293.26
  5. Step 5: Solve for x
    x = 377,293.26/545.66
  6. Step 6: Final answer
    x = 691.45

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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.