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Finding the Fourth Proportional to 545.47, 816.65 and 434.73

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Solution

The fourth proportional to 545.47, 816.65 and 434.73 is: 650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.47 : 816.65 = 434.73 : x
  2. Step 2: Convert to fraction form
    545.47/816.65 = 434.73/x
  3. Step 3: Cross multiply
    545.47x = 816.65 × 434.73
  4. Step 4: Simplify right side
    545.47x = 355,024.77
  5. Step 5: Solve for x
    x = 355,024.77/545.47
  6. Step 6: Final answer
    x = 650.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.