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Finding the Fourth Proportional to 588.16, 815.37 and 556.95

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Solution

The fourth proportional to 588.16, 815.37 and 556.95 is: 772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.16 : 815.37 = 556.95 : x
  2. Step 2: Convert to fraction form
    588.16/815.37 = 556.95/x
  3. Step 3: Cross multiply
    588.16x = 815.37 × 556.95
  4. Step 4: Simplify right side
    588.16x = 454,120.32
  5. Step 5: Solve for x
    x = 454,120.32/588.16
  6. Step 6: Final answer
    x = 772.10

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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.