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Finding the Fourth Proportional to 1,314.90, 1,970.28 and 698.45

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Solution

The fourth proportional to 1,314.90, 1,970.28 and 698.45 is: 1,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.90 : 1,970.28 = 698.45 : x
  2. Step 2: Convert to fraction form
    1,314.90/1,970.28 = 698.45/x
  3. Step 3: Cross multiply
    1,314.90x = 1,970.28 × 698.45
  4. Step 4: Simplify right side
    1,314.90x = 1,376,132.21
  5. Step 5: Solve for x
    x = 1,376,132.21/1,314.90
  6. Step 6: Final answer
    x = 1,046.57

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1.5x scale

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.