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Finding the Fourth Proportional to 760.26, 1,137.36 and 658.68

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Solution

The fourth proportional to 760.26, 1,137.36 and 658.68 is: 985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.26 : 1,137.36 = 658.68 : x
  2. Step 2: Convert to fraction form
    760.26/1,137.36 = 658.68/x
  3. Step 3: Cross multiply
    760.26x = 1,137.36 × 658.68
  4. Step 4: Simplify right side
    760.26x = 749,156.28
  5. Step 5: Solve for x
    x = 749,156.28/760.26
  6. Step 6: Final answer
    x = 985.39

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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.