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Finding the Fourth Proportional to 545.52, 815.90 and 478.08

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Solution

The fourth proportional to 545.52, 815.90 and 478.08 is: 715.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.52 : 815.90 = 478.08 : x
  2. Step 2: Convert to fraction form
    545.52/815.90 = 478.08/x
  3. Step 3: Cross multiply
    545.52x = 815.90 × 478.08
  4. Step 4: Simplify right side
    545.52x = 390,065.47
  5. Step 5: Solve for x
    x = 390,065.47/545.52
  6. Step 6: Final answer
    x = 715.03

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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.