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Finding the Fourth Proportional to 935.24, 1,287.54 and 873.18

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Solution

The fourth proportional to 935.24, 1,287.54 and 873.18 is: 1,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.24 : 1,287.54 = 873.18 : x
  2. Step 2: Convert to fraction form
    935.24/1,287.54 = 873.18/x
  3. Step 3: Cross multiply
    935.24x = 1,287.54 × 873.18
  4. Step 4: Simplify right side
    935.24x = 1,124,254.18
  5. Step 5: Solve for x
    x = 1,124,254.18/935.24
  6. Step 6: Final answer
    x = 1,202.11

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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.