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Finding the Fourth Proportional to 1,033, 1,549.50 and 648.52

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Solution

The fourth proportional to 1,033, 1,549.50 and 648.52 is: 972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033 : 1,549.50 = 648.52 : x
  2. Step 2: Convert to fraction form
    1,033/1,549.50 = 648.52/x
  3. Step 3: Cross multiply
    1,033x = 1,549.50 × 648.52
  4. Step 4: Simplify right side
    1,033x = 1,004,881.74
  5. Step 5: Solve for x
    x = 1,004,881.74/1,033
  6. Step 6: Final answer
    x = 972.78

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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.