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Finding the Fourth Proportional to 537.87, 809.54 and 458.58

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Solution

The fourth proportional to 537.87, 809.54 and 458.58 is: 690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.87 : 809.54 = 458.58 : x
  2. Step 2: Convert to fraction form
    537.87/809.54 = 458.58/x
  3. Step 3: Cross multiply
    537.87x = 809.54 × 458.58
  4. Step 4: Simplify right side
    537.87x = 371,238.85
  5. Step 5: Solve for x
    x = 371,238.85/537.87
  6. Step 6: Final answer
    x = 690.20

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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.