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Finding the Fourth Proportional to 588.34, 883.47 and 405.78

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Solution

The fourth proportional to 588.34, 883.47 and 405.78 is: 609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.34 : 883.47 = 405.78 : x
  2. Step 2: Convert to fraction form
    588.34/883.47 = 405.78/x
  3. Step 3: Cross multiply
    588.34x = 883.47 × 405.78
  4. Step 4: Simplify right side
    588.34x = 358,494.46
  5. Step 5: Solve for x
    x = 358,494.46/588.34
  6. Step 6: Final answer
    x = 609.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.