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Finding the Fourth Proportional to 1,023.24, 1,411.32 and 649.90

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Solution

The fourth proportional to 1,023.24, 1,411.32 and 649.90 is: 896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.24 : 1,411.32 = 649.90 : x
  2. Step 2: Convert to fraction form
    1,023.24/1,411.32 = 649.90/x
  3. Step 3: Cross multiply
    1,023.24x = 1,411.32 × 649.90
  4. Step 4: Simplify right side
    1,023.24x = 917,216.87
  5. Step 5: Solve for x
    x = 917,216.87/1,023.24
  6. Step 6: Final answer
    x = 896.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.