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Finding the Fourth Proportional to 758.17, 1,043.65 and 653.61

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Solution

The fourth proportional to 758.17, 1,043.65 and 653.61 is: 899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.17 : 1,043.65 = 653.61 : x
  2. Step 2: Convert to fraction form
    758.17/1,043.65 = 653.61/x
  3. Step 3: Cross multiply
    758.17x = 1,043.65 × 653.61
  4. Step 4: Simplify right side
    758.17x = 682,134.71
  5. Step 5: Solve for x
    x = 682,134.71/758.17
  6. Step 6: Final answer
    x = 899.71

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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.