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Finding the Fourth Proportional to 537.50, 809.91 and 478.57

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Solution

The fourth proportional to 537.50, 809.91 and 478.57 is: 721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.50 : 809.91 = 478.57 : x
  2. Step 2: Convert to fraction form
    537.50/809.91 = 478.57/x
  3. Step 3: Cross multiply
    537.50x = 809.91 × 478.57
  4. Step 4: Simplify right side
    537.50x = 387,598.63
  5. Step 5: Solve for x
    x = 387,598.63/537.50
  6. Step 6: Final answer
    x = 721.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.