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Finding the Fourth Proportional to 1,019.55, 1,407.06 and 872.13

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Solution

The fourth proportional to 1,019.55, 1,407.06 and 872.13 is: 1,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.55 : 1,407.06 = 872.13 : x
  2. Step 2: Convert to fraction form
    1,019.55/1,407.06 = 872.13/x
  3. Step 3: Cross multiply
    1,019.55x = 1,407.06 × 872.13
  4. Step 4: Simplify right side
    1,019.55x = 1,227,139.24
  5. Step 5: Solve for x
    x = 1,227,139.24/1,019.55
  6. Step 6: Final answer
    x = 1,203.61

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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.