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Finding the Fourth Proportional to 1,037.40, 1,431.06 and 742.20

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Solution

The fourth proportional to 1,037.40, 1,431.06 and 742.20 is: 1,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.40 : 1,431.06 = 742.20 : x
  2. Step 2: Convert to fraction form
    1,037.40/1,431.06 = 742.20/x
  3. Step 3: Cross multiply
    1,037.40x = 1,431.06 × 742.20
  4. Step 4: Simplify right side
    1,037.40x = 1,062,132.73
  5. Step 5: Solve for x
    x = 1,062,132.73/1,037.40
  6. Step 6: Final answer
    x = 1,023.84

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1.5x scale

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.