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Finding the Fourth Proportional to 1,017.90, 1,525.46 and 742.70

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Solution

The fourth proportional to 1,017.90, 1,525.46 and 742.70 is: 1,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.90 : 1,525.46 = 742.70 : x
  2. Step 2: Convert to fraction form
    1,017.90/1,525.46 = 742.70/x
  3. Step 3: Cross multiply
    1,017.90x = 1,525.46 × 742.70
  4. Step 4: Simplify right side
    1,017.90x = 1,132,959.24
  5. Step 5: Solve for x
    x = 1,132,959.24/1,017.90
  6. Step 6: Final answer
    x = 1,113.04

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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.