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Finding the Fourth Proportional to 588.48, 883.12 and 314.78

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Solution

The fourth proportional to 588.48, 883.12 and 314.78 is: 472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.48 : 883.12 = 314.78 : x
  2. Step 2: Convert to fraction form
    588.48/883.12 = 314.78/x
  3. Step 3: Cross multiply
    588.48x = 883.12 × 314.78
  4. Step 4: Simplify right side
    588.48x = 277,988.51
  5. Step 5: Solve for x
    x = 277,988.51/588.48
  6. Step 6: Final answer
    x = 472.38

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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.