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Finding the Fourth Proportional to 1,577.50, 2,366.23 and 538.23

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Solution

The fourth proportional to 1,577.50, 2,366.23 and 538.23 is: 807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.50 : 2,366.23 = 538.23 : x
  2. Step 2: Convert to fraction form
    1,577.50/2,366.23 = 538.23/x
  3. Step 3: Cross multiply
    1,577.50x = 2,366.23 × 538.23
  4. Step 4: Simplify right side
    1,577.50x = 1,273,575.97
  5. Step 5: Solve for x
    x = 1,273,575.97/1,577.50
  6. Step 6: Final answer
    x = 807.34

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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.