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Finding the Fourth Proportional to 1,121.48, 1,547.04 and 728.66

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Solution

The fourth proportional to 1,121.48, 1,547.04 and 728.66 is: 1,005.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.48 : 1,547.04 = 728.66 : x
  2. Step 2: Convert to fraction form
    1,121.48/1,547.04 = 728.66/x
  3. Step 3: Cross multiply
    1,121.48x = 1,547.04 × 728.66
  4. Step 4: Simplify right side
    1,121.48x = 1,127,266.17
  5. Step 5: Solve for x
    x = 1,127,266.17/1,121.48
  6. Step 6: Final answer
    x = 1,005.16

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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.