Home / 1,037.29-1,431.33-706.15

Finding the Fourth Proportional to 1,037.29, 1,431.33 and 706.15

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Solution

The fourth proportional to 1,037.29, 1,431.33 and 706.15 is: 974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.29 : 1,431.33 = 706.15 : x
  2. Step 2: Convert to fraction form
    1,037.29/1,431.33 = 706.15/x
  3. Step 3: Cross multiply
    1,037.29x = 1,431.33 × 706.15
  4. Step 4: Simplify right side
    1,037.29x = 1,010,733.68
  5. Step 5: Solve for x
    x = 1,010,733.68/1,037.29
  6. Step 6: Final answer
    x = 974.40

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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.