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Finding the Fourth Proportional to 898.06, 1,237.70 and 664.78

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Solution

The fourth proportional to 898.06, 1,237.70 and 664.78 is: 916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.06 : 1,237.70 = 664.78 : x
  2. Step 2: Convert to fraction form
    898.06/1,237.70 = 664.78/x
  3. Step 3: Cross multiply
    898.06x = 1,237.70 × 664.78
  4. Step 4: Simplify right side
    898.06x = 822,798.21
  5. Step 5: Solve for x
    x = 822,798.21/898.06
  6. Step 6: Final answer
    x = 916.20

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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.