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Finding the Fourth Proportional to 545.63, 752.96 and 296.95

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Solution

The fourth proportional to 545.63, 752.96 and 296.95 is: 409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.63 : 752.96 = 296.95 : x
  2. Step 2: Convert to fraction form
    545.63/752.96 = 296.95/x
  3. Step 3: Cross multiply
    545.63x = 752.96 × 296.95
  4. Step 4: Simplify right side
    545.63x = 223,586.22
  5. Step 5: Solve for x
    x = 223,586.22/545.63
  6. Step 6: Final answer
    x = 409.78

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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.