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Finding the Fourth Proportional to 588.48, 811.43 and 402.08

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Solution

The fourth proportional to 588.48, 811.43 and 402.08 is: 554.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.48 : 811.43 = 402.08 : x
  2. Step 2: Convert to fraction form
    588.48/811.43 = 402.08/x
  3. Step 3: Cross multiply
    588.48x = 811.43 × 402.08
  4. Step 4: Simplify right side
    588.48x = 326,255.74
  5. Step 5: Solve for x
    x = 326,255.74/588.48
  6. Step 6: Final answer
    x = 554.40

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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.