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Finding the Fourth Proportional to 898.59, 1,238.84 and 599.22

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Solution

The fourth proportional to 898.59, 1,238.84 and 599.22 is: 826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.59 : 1,238.84 = 599.22 : x
  2. Step 2: Convert to fraction form
    898.59/1,238.84 = 599.22/x
  3. Step 3: Cross multiply
    898.59x = 1,238.84 × 599.22
  4. Step 4: Simplify right side
    898.59x = 742,334.71
  5. Step 5: Solve for x
    x = 742,334.71/898.59
  6. Step 6: Final answer
    x = 826.11

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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.