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Finding the Fourth Proportional to 739.02, 1,102.92 and 657.01

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Solution

The fourth proportional to 739.02, 1,102.92 and 657.01 is: 980.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.02 : 1,102.92 = 657.01 : x
  2. Step 2: Convert to fraction form
    739.02/1,102.92 = 657.01/x
  3. Step 3: Cross multiply
    739.02x = 1,102.92 × 657.01
  4. Step 4: Simplify right side
    739.02x = 724,628.38
  5. Step 5: Solve for x
    x = 724,628.38/739.02
  6. Step 6: Final answer
    x = 980.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.