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Finding the Fourth Proportional to 1,314.55, 1,970.13 and 698.55

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Solution

The fourth proportional to 1,314.55, 1,970.13 and 698.55 is: 1,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.55 : 1,970.13 = 698.55 : x
  2. Step 2: Convert to fraction form
    1,314.55/1,970.13 = 698.55/x
  3. Step 3: Cross multiply
    1,314.55x = 1,970.13 × 698.55
  4. Step 4: Simplify right side
    1,314.55x = 1,376,234.31
  5. Step 5: Solve for x
    x = 1,376,234.31/1,314.55
  6. Step 6: Final answer
    x = 1,046.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.