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Finding the Fourth Proportional to 1,041.91, 1,438.10 and 649.39

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Solution

The fourth proportional to 1,041.91, 1,438.10 and 649.39 is: 896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.91 : 1,438.10 = 649.39 : x
  2. Step 2: Convert to fraction form
    1,041.91/1,438.10 = 649.39/x
  3. Step 3: Cross multiply
    1,041.91x = 1,438.10 × 649.39
  4. Step 4: Simplify right side
    1,041.91x = 933,887.76
  5. Step 5: Solve for x
    x = 933,887.76/1,041.91
  6. Step 6: Final answer
    x = 896.32

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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.