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Finding the Fourth Proportional to 1,698.31, 2,547.73 and 724.42

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Solution

The fourth proportional to 1,698.31, 2,547.73 and 724.42 is: 1,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.31 : 2,547.73 = 724.42 : x
  2. Step 2: Convert to fraction form
    1,698.31/2,547.73 = 724.42/x
  3. Step 3: Cross multiply
    1,698.31x = 2,547.73 × 724.42
  4. Step 4: Simplify right side
    1,698.31x = 1,845,613.83
  5. Step 5: Solve for x
    x = 1,845,613.83/1,698.31
  6. Step 6: Final answer
    x = 1,086.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.