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Finding the Fourth Proportional to 929.87, 1,393.28 and 655.48

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Solution

The fourth proportional to 929.87, 1,393.28 and 655.48 is: 982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.87 : 1,393.28 = 655.48 : x
  2. Step 2: Convert to fraction form
    929.87/1,393.28 = 655.48/x
  3. Step 3: Cross multiply
    929.87x = 1,393.28 × 655.48
  4. Step 4: Simplify right side
    929.87x = 913,267.17
  5. Step 5: Solve for x
    x = 913,267.17/929.87
  6. Step 6: Final answer
    x = 982.15

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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.