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Finding the Fourth Proportional to 898.32, 1,239.40 and 622.48

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Solution

The fourth proportional to 898.32, 1,239.40 and 622.48 is: 858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.32 : 1,239.40 = 622.48 : x
  2. Step 2: Convert to fraction form
    898.32/1,239.40 = 622.48/x
  3. Step 3: Cross multiply
    898.32x = 1,239.40 × 622.48
  4. Step 4: Simplify right side
    898.32x = 771,501.71
  5. Step 5: Solve for x
    x = 771,501.71/898.32
  6. Step 6: Final answer
    x = 858.83

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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.