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Finding the Fourth Proportional to 1,121.25, 1,547.51 and 655.41

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Solution

The fourth proportional to 1,121.25, 1,547.51 and 655.41 is: 904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.25 : 1,547.51 = 655.41 : x
  2. Step 2: Convert to fraction form
    1,121.25/1,547.51 = 655.41/x
  3. Step 3: Cross multiply
    1,121.25x = 1,547.51 × 655.41
  4. Step 4: Simplify right side
    1,121.25x = 1,014,250.25
  5. Step 5: Solve for x
    x = 1,014,250.25/1,121.25
  6. Step 6: Final answer
    x = 904.57

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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.