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Finding the Fourth Proportional to 1,534.87, 2,300.70 and 712.47

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Solution

The fourth proportional to 1,534.87, 2,300.70 and 712.47 is: 1,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.87 : 2,300.70 = 712.47 : x
  2. Step 2: Convert to fraction form
    1,534.87/2,300.70 = 712.47/x
  3. Step 3: Cross multiply
    1,534.87x = 2,300.70 × 712.47
  4. Step 4: Simplify right side
    1,534.87x = 1,639,168.23
  5. Step 5: Solve for x
    x = 1,639,168.23/1,534.87
  6. Step 6: Final answer
    x = 1,067.95

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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.