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Finding the Fourth Proportional to 737.76, 1,022.88 and 710.40

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Solution

The fourth proportional to 737.76, 1,022.88 and 710.40 is: 984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.76 : 1,022.88 = 710.40 : x
  2. Step 2: Convert to fraction form
    737.76/1,022.88 = 710.40/x
  3. Step 3: Cross multiply
    737.76x = 1,022.88 × 710.40
  4. Step 4: Simplify right side
    737.76x = 726,653.95
  5. Step 5: Solve for x
    x = 726,653.95/737.76
  6. Step 6: Final answer
    x = 984.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.