Home / 1,547.16-2,321.08-767.59

Finding the Fourth Proportional to 1,547.16, 2,321.08 and 767.59

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Solution

The fourth proportional to 1,547.16, 2,321.08 and 767.59 is: 1,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.16 : 2,321.08 = 767.59 : x
  2. Step 2: Convert to fraction form
    1,547.16/2,321.08 = 767.59/x
  3. Step 3: Cross multiply
    1,547.16x = 2,321.08 × 767.59
  4. Step 4: Simplify right side
    1,547.16x = 1,781,634.39
  5. Step 5: Solve for x
    x = 1,781,634.39/1,547.16
  6. Step 6: Final answer
    x = 1,151.55

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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.