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Finding the Fourth Proportional to 1,037.74, 1,430.57 and 742.49

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Solution

The fourth proportional to 1,037.74, 1,430.57 and 742.49 is: 1,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.74 : 1,430.57 = 742.49 : x
  2. Step 2: Convert to fraction form
    1,037.74/1,430.57 = 742.49/x
  3. Step 3: Cross multiply
    1,037.74x = 1,430.57 × 742.49
  4. Step 4: Simplify right side
    1,037.74x = 1,062,180.21
  5. Step 5: Solve for x
    x = 1,062,180.21/1,037.74
  6. Step 6: Final answer
    x = 1,023.56

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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.