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Finding the Fourth Proportional to 588.90, 811.90 and 471.30

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Solution

The fourth proportional to 588.90, 811.90 and 471.30 is: 649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.90 : 811.90 = 471.30 : x
  2. Step 2: Convert to fraction form
    588.90/811.90 = 471.30/x
  3. Step 3: Cross multiply
    588.90x = 811.90 × 471.30
  4. Step 4: Simplify right side
    588.90x = 382,648.47
  5. Step 5: Solve for x
    x = 382,648.47/588.90
  6. Step 6: Final answer
    x = 649.77

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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.