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Finding the Fourth Proportional to 898.08, 1,237.72 and 664.80

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Solution

The fourth proportional to 898.08, 1,237.72 and 664.80 is: 916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.08 : 1,237.72 = 664.80 : x
  2. Step 2: Convert to fraction form
    898.08/1,237.72 = 664.80/x
  3. Step 3: Cross multiply
    898.08x = 1,237.72 × 664.80
  4. Step 4: Simplify right side
    898.08x = 822,836.26
  5. Step 5: Solve for x
    x = 822,836.26/898.08
  6. Step 6: Final answer
    x = 916.22

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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.