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Finding the Fourth Proportional to 749.03, 1,033.56 and 469.31

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Solution

The fourth proportional to 749.03, 1,033.56 and 469.31 is: 647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.03 : 1,033.56 = 469.31 : x
  2. Step 2: Convert to fraction form
    749.03/1,033.56 = 469.31/x
  3. Step 3: Cross multiply
    749.03x = 1,033.56 × 469.31
  4. Step 4: Simplify right side
    749.03x = 485,054.88
  5. Step 5: Solve for x
    x = 485,054.88/749.03
  6. Step 6: Final answer
    x = 647.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.