Home / 1,314.45-1,972.13-534.20

Finding the Fourth Proportional to 1,314.45, 1,972.13 and 534.20

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Solution

The fourth proportional to 1,314.45, 1,972.13 and 534.20 is: 801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.45 : 1,972.13 = 534.20 : x
  2. Step 2: Convert to fraction form
    1,314.45/1,972.13 = 534.20/x
  3. Step 3: Cross multiply
    1,314.45x = 1,972.13 × 534.20
  4. Step 4: Simplify right side
    1,314.45x = 1,053,499.31
  5. Step 5: Solve for x
    x = 1,053,499.31/1,314.45
  6. Step 6: Final answer
    x = 801.48

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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.