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Finding the Fourth Proportional to 1,140.86, 1,573.35 and 748.10

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Solution

The fourth proportional to 1,140.86, 1,573.35 and 748.10 is: 1,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.86 : 1,573.35 = 748.10 : x
  2. Step 2: Convert to fraction form
    1,140.86/1,573.35 = 748.10/x
  3. Step 3: Cross multiply
    1,140.86x = 1,573.35 × 748.10
  4. Step 4: Simplify right side
    1,140.86x = 1,177,024.26
  5. Step 5: Solve for x
    x = 1,177,024.26/1,140.86
  6. Step 6: Final answer
    x = 1,031.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.