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Finding the Fourth Proportional to 545.47, 817.62 and 271.02

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Solution

The fourth proportional to 545.47, 817.62 and 271.02 is: 406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.47 : 817.62 = 271.02 : x
  2. Step 2: Convert to fraction form
    545.47/817.62 = 271.02/x
  3. Step 3: Cross multiply
    545.47x = 817.62 × 271.02
  4. Step 4: Simplify right side
    545.47x = 221,591.37
  5. Step 5: Solve for x
    x = 221,591.37/545.47
  6. Step 6: Final answer
    x = 406.24

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