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Finding the Fourth Proportional to 588.32, 810.76 and 431

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Solution

The fourth proportional to 588.32, 810.76 and 431 is: 593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.32 : 810.76 = 431 : x
  2. Step 2: Convert to fraction form
    588.32/810.76 = 431/x
  3. Step 3: Cross multiply
    588.32x = 810.76 × 431
  4. Step 4: Simplify right side
    588.32x = 349,437.56
  5. Step 5: Solve for x
    x = 349,437.56/588.32
  6. Step 6: Final answer
    x = 593.96

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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.