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Finding the Fourth Proportional to 757.83, 1,045.92 and 708.42

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Solution

The fourth proportional to 757.83, 1,045.92 and 708.42 is: 977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.83 : 1,045.92 = 708.42 : x
  2. Step 2: Convert to fraction form
    757.83/1,045.92 = 708.42/x
  3. Step 3: Cross multiply
    757.83x = 1,045.92 × 708.42
  4. Step 4: Simplify right side
    757.83x = 740,950.65
  5. Step 5: Solve for x
    x = 740,950.65/757.83
  6. Step 6: Final answer
    x = 977.73

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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.