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Finding the Fourth Proportional to 545.41, 813.50 and 463.33

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Solution

The fourth proportional to 545.41, 813.50 and 463.33 is: 691.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.41 : 813.50 = 463.33 : x
  2. Step 2: Convert to fraction form
    545.41/813.50 = 463.33/x
  3. Step 3: Cross multiply
    545.41x = 813.50 × 463.33
  4. Step 4: Simplify right side
    545.41x = 376,914.89
  5. Step 5: Solve for x
    x = 376,914.89/545.41
  6. Step 6: Final answer
    x = 691.07

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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.