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Finding the Fourth Proportional to 717.64, 990.02 and 422.77

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Solution

The fourth proportional to 717.64, 990.02 and 422.77 is: 583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.64 : 990.02 = 422.77 : x
  2. Step 2: Convert to fraction form
    717.64/990.02 = 422.77/x
  3. Step 3: Cross multiply
    717.64x = 990.02 × 422.77
  4. Step 4: Simplify right side
    717.64x = 418,550.76
  5. Step 5: Solve for x
    x = 418,550.76/717.64
  6. Step 6: Final answer
    x = 583.23

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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.