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Finding the Fourth Proportional to 752.61, 1,036.32 and 708.78

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Solution

The fourth proportional to 752.61, 1,036.32 and 708.78 is: 975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.61 : 1,036.32 = 708.78 : x
  2. Step 2: Convert to fraction form
    752.61/1,036.32 = 708.78/x
  3. Step 3: Cross multiply
    752.61x = 1,036.32 × 708.78
  4. Step 4: Simplify right side
    752.61x = 734,522.89
  5. Step 5: Solve for x
    x = 734,522.89/752.61
  6. Step 6: Final answer
    x = 975.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.