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Finding the Fourth Proportional to 1,034.06, 1,551.09 and 648.50

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Solution

The fourth proportional to 1,034.06, 1,551.09 and 648.50 is: 972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.06 : 1,551.09 = 648.50 : x
  2. Step 2: Convert to fraction form
    1,034.06/1,551.09 = 648.50/x
  3. Step 3: Cross multiply
    1,034.06x = 1,551.09 × 648.50
  4. Step 4: Simplify right side
    1,034.06x = 1,005,881.87
  5. Step 5: Solve for x
    x = 1,005,881.87/1,034.06
  6. Step 6: Final answer
    x = 972.75

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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.