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Finding the Fourth Proportional to 872.95, 1,315.42 and 722.27

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Solution

The fourth proportional to 872.95, 1,315.42 and 722.27 is: 1,088.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.95 : 1,315.42 = 722.27 : x
  2. Step 2: Convert to fraction form
    872.95/1,315.42 = 722.27/x
  3. Step 3: Cross multiply
    872.95x = 1,315.42 × 722.27
  4. Step 4: Simplify right side
    872.95x = 950,080.02
  5. Step 5: Solve for x
    x = 950,080.02/872.95
  6. Step 6: Final answer
    x = 1,088.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.