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Finding the Fourth Proportional to 757.89, 1,045.31 and 488.61

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Solution

The fourth proportional to 757.89, 1,045.31 and 488.61 is: 673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.89 : 1,045.31 = 488.61 : x
  2. Step 2: Convert to fraction form
    757.89/1,045.31 = 488.61/x
  3. Step 3: Cross multiply
    757.89x = 1,045.31 × 488.61
  4. Step 4: Simplify right side
    757.89x = 510,746.48
  5. Step 5: Solve for x
    x = 510,746.48/757.89
  6. Step 6: Final answer
    x = 673.91

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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.