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Finding the Fourth Proportional to 739.15, 1,020.46 and 657.13

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Solution

The fourth proportional to 739.15, 1,020.46 and 657.13 is: 907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.15 : 1,020.46 = 657.13 : x
  2. Step 2: Convert to fraction form
    739.15/1,020.46 = 657.13/x
  3. Step 3: Cross multiply
    739.15x = 1,020.46 × 657.13
  4. Step 4: Simplify right side
    739.15x = 670,574.88
  5. Step 5: Solve for x
    x = 670,574.88/739.15
  6. Step 6: Final answer
    x = 907.22

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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.