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Finding the Fourth Proportional to 875.40, 1,306.61 and 757.74

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Solution

The fourth proportional to 875.40, 1,306.61 and 757.74 is: 1,130.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.40 : 1,306.61 = 757.74 : x
  2. Step 2: Convert to fraction form
    875.40/1,306.61 = 757.74/x
  3. Step 3: Cross multiply
    875.40x = 1,306.61 × 757.74
  4. Step 4: Simplify right side
    875.40x = 990,070.66
  5. Step 5: Solve for x
    x = 990,070.66/875.40
  6. Step 6: Final answer
    x = 1,130.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.