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Finding the Fourth Proportional to 1,170.52, 1,755.26 and 458.03

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Solution

The fourth proportional to 1,170.52, 1,755.26 and 458.03 is: 686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.52 : 1,755.26 = 458.03 : x
  2. Step 2: Convert to fraction form
    1,170.52/1,755.26 = 458.03/x
  3. Step 3: Cross multiply
    1,170.52x = 1,755.26 × 458.03
  4. Step 4: Simplify right side
    1,170.52x = 803,959.45
  5. Step 5: Solve for x
    x = 803,959.45/1,170.52
  6. Step 6: Final answer
    x = 686.84

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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.