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Finding the Fourth Proportional to 761.07, 1,146.04 and 645.92

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Solution

The fourth proportional to 761.07, 1,146.04 and 645.92 is: 972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.07 : 1,146.04 = 645.92 : x
  2. Step 2: Convert to fraction form
    761.07/1,146.04 = 645.92/x
  3. Step 3: Cross multiply
    761.07x = 1,146.04 × 645.92
  4. Step 4: Simplify right side
    761.07x = 740,250.16
  5. Step 5: Solve for x
    x = 740,250.16/761.07
  6. Step 6: Final answer
    x = 972.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.