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Finding the Fourth Proportional to 1,547.20, 2,320.80 and 682.12

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Solution

The fourth proportional to 1,547.20, 2,320.80 and 682.12 is: 1,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.20 : 2,320.80 = 682.12 : x
  2. Step 2: Convert to fraction form
    1,547.20/2,320.80 = 682.12/x
  3. Step 3: Cross multiply
    1,547.20x = 2,320.80 × 682.12
  4. Step 4: Simplify right side
    1,547.20x = 1,583,068.28
  5. Step 5: Solve for x
    x = 1,583,068.28/1,547.20
  6. Step 6: Final answer
    x = 1,023.18

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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.