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Finding the Fourth Proportional to 752.14, 1,127.26 and 341.47

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Solution

The fourth proportional to 752.14, 1,127.26 and 341.47 is: 511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.14 : 1,127.26 = 341.47 : x
  2. Step 2: Convert to fraction form
    752.14/1,127.26 = 341.47/x
  3. Step 3: Cross multiply
    752.14x = 1,127.26 × 341.47
  4. Step 4: Simplify right side
    752.14x = 384,925.47
  5. Step 5: Solve for x
    x = 384,925.47/752.14
  6. Step 6: Final answer
    x = 511.77

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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.