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Finding the Fourth Proportional to 688.80, 944.70 and 653.61

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Solution

The fourth proportional to 688.80, 944.70 and 653.61 is: 896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.80 : 944.70 = 653.61 : x
  2. Step 2: Convert to fraction form
    688.80/944.70 = 653.61/x
  3. Step 3: Cross multiply
    688.80x = 944.70 × 653.61
  4. Step 4: Simplify right side
    688.80x = 617,465.37
  5. Step 5: Solve for x
    x = 617,465.37/688.80
  6. Step 6: Final answer
    x = 896.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.