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Finding the Fourth Proportional to 1,698.10, 2,547.14 and 724.08

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Solution

The fourth proportional to 1,698.10, 2,547.14 and 724.08 is: 1,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.10 : 2,547.14 = 724.08 : x
  2. Step 2: Convert to fraction form
    1,698.10/2,547.14 = 724.08/x
  3. Step 3: Cross multiply
    1,698.10x = 2,547.14 × 724.08
  4. Step 4: Simplify right side
    1,698.10x = 1,844,333.13
  5. Step 5: Solve for x
    x = 1,844,333.13/1,698.10
  6. Step 6: Final answer
    x = 1,086.12

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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.