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Finding the Fourth Proportional to 1,314.90, 1,971.48 and 698.22

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Solution

The fourth proportional to 1,314.90, 1,971.48 and 698.22 is: 1,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.90 : 1,971.48 = 698.22 : x
  2. Step 2: Convert to fraction form
    1,314.90/1,971.48 = 698.22/x
  3. Step 3: Cross multiply
    1,314.90x = 1,971.48 × 698.22
  4. Step 4: Simplify right side
    1,314.90x = 1,376,526.77
  5. Step 5: Solve for x
    x = 1,376,526.77/1,314.90
  6. Step 6: Final answer
    x = 1,046.87

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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.