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Finding the Fourth Proportional to 749.01, 1,030.80 and 671.25

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Solution

The fourth proportional to 749.01, 1,030.80 and 671.25 is: 923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.01 : 1,030.80 = 671.25 : x
  2. Step 2: Convert to fraction form
    749.01/1,030.80 = 671.25/x
  3. Step 3: Cross multiply
    749.01x = 1,030.80 × 671.25
  4. Step 4: Simplify right side
    749.01x = 691,924.50
  5. Step 5: Solve for x
    x = 691,924.50/749.01
  6. Step 6: Final answer
    x = 923.79

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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.