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Finding the Fourth Proportional to 588.01, 885.47 and 511.89

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Solution

The fourth proportional to 588.01, 885.47 and 511.89 is: 770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.01 : 885.47 = 511.89 : x
  2. Step 2: Convert to fraction form
    588.01/885.47 = 511.89/x
  3. Step 3: Cross multiply
    588.01x = 885.47 × 511.89
  4. Step 4: Simplify right side
    588.01x = 453,257.36
  5. Step 5: Solve for x
    x = 453,257.36/588.01
  6. Step 6: Final answer
    x = 770.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.