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Finding the Fourth Proportional to 757.91, 1,045.77 and 478.19

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Solution

The fourth proportional to 757.91, 1,045.77 and 478.19 is: 659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.91 : 1,045.77 = 478.19 : x
  2. Step 2: Convert to fraction form
    757.91/1,045.77 = 478.19/x
  3. Step 3: Cross multiply
    757.91x = 1,045.77 × 478.19
  4. Step 4: Simplify right side
    757.91x = 500,076.76
  5. Step 5: Solve for x
    x = 500,076.76/757.91
  6. Step 6: Final answer
    x = 659.81

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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.