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Finding the Fourth Proportional to 929.92, 1,393.26 and 907.24

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Solution

The fourth proportional to 929.92, 1,393.26 and 907.24 is: 1,359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.92 : 1,393.26 = 907.24 : x
  2. Step 2: Convert to fraction form
    929.92/1,393.26 = 907.24/x
  3. Step 3: Cross multiply
    929.92x = 1,393.26 × 907.24
  4. Step 4: Simplify right side
    929.92x = 1,264,021.20
  5. Step 5: Solve for x
    x = 1,264,021.20/929.92
  6. Step 6: Final answer
    x = 1,359.28

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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.