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Finding the Fourth Proportional to 929.95, 1,395.10 and 758.15

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Solution

The fourth proportional to 929.95, 1,395.10 and 758.15 is: 1,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.95 : 1,395.10 = 758.15 : x
  2. Step 2: Convert to fraction form
    929.95/1,395.10 = 758.15/x
  3. Step 3: Cross multiply
    929.95x = 1,395.10 × 758.15
  4. Step 4: Simplify right side
    929.95x = 1,057,694.27
  5. Step 5: Solve for x
    x = 1,057,694.27/929.95
  6. Step 6: Final answer
    x = 1,137.36

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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.