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Finding the Fourth Proportional to 1,314.46, 1,971.47 and 534.43

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Solution

The fourth proportional to 1,314.46, 1,971.47 and 534.43 is: 801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.46 : 1,971.47 = 534.43 : x
  2. Step 2: Convert to fraction form
    1,314.46/1,971.47 = 534.43/x
  3. Step 3: Cross multiply
    1,314.46x = 1,971.47 × 534.43
  4. Step 4: Simplify right side
    1,314.46x = 1,053,612.71
  5. Step 5: Solve for x
    x = 1,053,612.71/1,314.46
  6. Step 6: Final answer
    x = 801.56

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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.