Home / 1,547.40-2,320.38-726.06

Finding the Fourth Proportional to 1,547.40, 2,320.38 and 726.06

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Solution

The fourth proportional to 1,547.40, 2,320.38 and 726.06 is: 1,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.40 : 2,320.38 = 726.06 : x
  2. Step 2: Convert to fraction form
    1,547.40/2,320.38 = 726.06/x
  3. Step 3: Cross multiply
    1,547.40x = 2,320.38 × 726.06
  4. Step 4: Simplify right side
    1,547.40x = 1,684,735.10
  5. Step 5: Solve for x
    x = 1,684,735.10/1,547.40
  6. Step 6: Final answer
    x = 1,088.75

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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.