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Finding the Fourth Proportional to 752.76, 1,124.28 and 643.32

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Solution

The fourth proportional to 752.76, 1,124.28 and 643.32 is: 960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.76 : 1,124.28 = 643.32 : x
  2. Step 2: Convert to fraction form
    752.76/1,124.28 = 643.32/x
  3. Step 3: Cross multiply
    752.76x = 1,124.28 × 643.32
  4. Step 4: Simplify right side
    752.76x = 723,271.81
  5. Step 5: Solve for x
    x = 723,271.81/752.76
  6. Step 6: Final answer
    x = 960.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.