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Finding the Fourth Proportional to 1,041.40, 1,437.56 and 648.52

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Solution

The fourth proportional to 1,041.40, 1,437.56 and 648.52 is: 895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.40 : 1,437.56 = 648.52 : x
  2. Step 2: Convert to fraction form
    1,041.40/1,437.56 = 648.52/x
  3. Step 3: Cross multiply
    1,041.40x = 1,437.56 × 648.52
  4. Step 4: Simplify right side
    1,041.40x = 932,286.41
  5. Step 5: Solve for x
    x = 932,286.41/1,041.40
  6. Step 6: Final answer
    x = 895.22

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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.