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Finding the Fourth Proportional to 601.79, 828.68 and 588.15

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Solution

The fourth proportional to 601.79, 828.68 and 588.15 is: 809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.79 : 828.68 = 588.15 : x
  2. Step 2: Convert to fraction form
    601.79/828.68 = 588.15/x
  3. Step 3: Cross multiply
    601.79x = 828.68 × 588.15
  4. Step 4: Simplify right side
    601.79x = 487,385.20
  5. Step 5: Solve for x
    x = 487,385.20/601.79
  6. Step 6: Final answer
    x = 809.90

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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.