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Finding the Fourth Proportional to 761.28, 1,136.98 and 693.24

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Solution

The fourth proportional to 761.28, 1,136.98 and 693.24 is: 1,035.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.28 : 1,136.98 = 693.24 : x
  2. Step 2: Convert to fraction form
    761.28/1,136.98 = 693.24/x
  3. Step 3: Cross multiply
    761.28x = 1,136.98 × 693.24
  4. Step 4: Simplify right side
    761.28x = 788,200.02
  5. Step 5: Solve for x
    x = 788,200.02/761.28
  6. Step 6: Final answer
    x = 1,035.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.