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Finding the Fourth Proportional to 545.78, 752.65 and 421.24

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Solution

The fourth proportional to 545.78, 752.65 and 421.24 is: 580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.78 : 752.65 = 421.24 : x
  2. Step 2: Convert to fraction form
    545.78/752.65 = 421.24/x
  3. Step 3: Cross multiply
    545.78x = 752.65 × 421.24
  4. Step 4: Simplify right side
    545.78x = 317,040.42
  5. Step 5: Solve for x
    x = 317,040.42/545.78
  6. Step 6: Final answer
    x = 580.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.