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Finding the Fourth Proportional to 1,577.52, 2,366.78 and 537.53

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Solution

The fourth proportional to 1,577.52, 2,366.78 and 537.53 is: 806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.52 : 2,366.78 = 537.53 : x
  2. Step 2: Convert to fraction form
    1,577.52/2,366.78 = 537.53/x
  3. Step 3: Cross multiply
    1,577.52x = 2,366.78 × 537.53
  4. Step 4: Simplify right side
    1,577.52x = 1,272,200.73
  5. Step 5: Solve for x
    x = 1,272,200.73/1,577.52
  6. Step 6: Final answer
    x = 806.46

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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.