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Finding the Fourth Proportional to 1,121.26, 1,547.49 and 655.51

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Solution

The fourth proportional to 1,121.26, 1,547.49 and 655.51 is: 904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.26 : 1,547.49 = 655.51 : x
  2. Step 2: Convert to fraction form
    1,121.26/1,547.49 = 655.51/x
  3. Step 3: Cross multiply
    1,121.26x = 1,547.49 × 655.51
  4. Step 4: Simplify right side
    1,121.26x = 1,014,395.17
  5. Step 5: Solve for x
    x = 1,014,395.17/1,121.26
  6. Step 6: Final answer
    x = 904.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.