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Finding the Fourth Proportional to 738.18, 1,012.61 and 698.45

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Solution

The fourth proportional to 738.18, 1,012.61 and 698.45 is: 958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.18 : 1,012.61 = 698.45 : x
  2. Step 2: Convert to fraction form
    738.18/1,012.61 = 698.45/x
  3. Step 3: Cross multiply
    738.18x = 1,012.61 × 698.45
  4. Step 4: Simplify right side
    738.18x = 707,257.45
  5. Step 5: Solve for x
    x = 707,257.45/738.18
  6. Step 6: Final answer
    x = 958.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.