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Finding the Fourth Proportional to 1,121.47, 1,547.66 and 624.16

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Solution

The fourth proportional to 1,121.47, 1,547.66 and 624.16 is: 861.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.47 : 1,547.66 = 624.16 : x
  2. Step 2: Convert to fraction form
    1,121.47/1,547.66 = 624.16/x
  3. Step 3: Cross multiply
    1,121.47x = 1,547.66 × 624.16
  4. Step 4: Simplify right side
    1,121.47x = 965,987.47
  5. Step 5: Solve for x
    x = 965,987.47/1,121.47
  6. Step 6: Final answer
    x = 861.36

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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.