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Finding the Fourth Proportional to 898.60, 1,241.40 and 837.13

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Solution

The fourth proportional to 898.60, 1,241.40 and 837.13 is: 1,156.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.60 : 1,241.40 = 837.13 : x
  2. Step 2: Convert to fraction form
    898.60/1,241.40 = 837.13/x
  3. Step 3: Cross multiply
    898.60x = 1,241.40 × 837.13
  4. Step 4: Simplify right side
    898.60x = 1,039,213.18
  5. Step 5: Solve for x
    x = 1,039,213.18/898.60
  6. Step 6: Final answer
    x = 1,156.48

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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.