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Finding the Fourth Proportional to 1,736.79, 2,397.00 and 990.58

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Solution

The fourth proportional to 1,736.79, 2,397.00 and 990.58 is: 1,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.79 : 2,397.00 = 990.58 : x
  2. Step 2: Convert to fraction form
    1,736.79/2,397.00 = 990.58/x
  3. Step 3: Cross multiply
    1,736.79x = 2,397.00 × 990.58
  4. Step 4: Simplify right side
    1,736.79x = 2,374,419.69
  5. Step 5: Solve for x
    x = 2,374,419.69/1,736.79
  6. Step 6: Final answer
    x = 1,367.13

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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.