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Finding the Fourth Proportional to 545.80, 817.70 and 476.50

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Solution

The fourth proportional to 545.80, 817.70 and 476.50 is: 713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.80 : 817.70 = 476.50 : x
  2. Step 2: Convert to fraction form
    545.80/817.70 = 476.50/x
  3. Step 3: Cross multiply
    545.80x = 817.70 × 476.50
  4. Step 4: Simplify right side
    545.80x = 389,634.05
  5. Step 5: Solve for x
    x = 389,634.05/545.80
  6. Step 6: Final answer
    x = 713.88

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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.