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Finding the Fourth Proportional to 718.94, 1,073.26 and 657.38

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Solution

The fourth proportional to 718.94, 1,073.26 and 657.38 is: 981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.94 : 1,073.26 = 657.38 : x
  2. Step 2: Convert to fraction form
    718.94/1,073.26 = 657.38/x
  3. Step 3: Cross multiply
    718.94x = 1,073.26 × 657.38
  4. Step 4: Simplify right side
    718.94x = 705,539.66
  5. Step 5: Solve for x
    x = 705,539.66/718.94
  6. Step 6: Final answer
    x = 981.36

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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.