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Finding the Fourth Proportional to 754.98, 1,130.93 and 691.98

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Solution

The fourth proportional to 754.98, 1,130.93 and 691.98 is: 1,036.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.98 : 1,130.93 = 691.98 : x
  2. Step 2: Convert to fraction form
    754.98/1,130.93 = 691.98/x
  3. Step 3: Cross multiply
    754.98x = 1,130.93 × 691.98
  4. Step 4: Simplify right side
    754.98x = 782,582.67
  5. Step 5: Solve for x
    x = 782,582.67/754.98
  6. Step 6: Final answer
    x = 1,036.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.