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Finding the Fourth Proportional to 600.31, 826.59 and 526.18

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Solution

The fourth proportional to 600.31, 826.59 and 526.18 is: 724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.31 : 826.59 = 526.18 : x
  2. Step 2: Convert to fraction form
    600.31/826.59 = 526.18/x
  3. Step 3: Cross multiply
    600.31x = 826.59 × 526.18
  4. Step 4: Simplify right side
    600.31x = 434,935.13
  5. Step 5: Solve for x
    x = 434,935.13/600.31
  6. Step 6: Final answer
    x = 724.52

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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.