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Finding the Fourth Proportional to 842.18, 1,254.80 and 795.02

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Solution

The fourth proportional to 842.18, 1,254.80 and 795.02 is: 1,184.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.18 : 1,254.80 = 795.02 : x
  2. Step 2: Convert to fraction form
    842.18/1,254.80 = 795.02/x
  3. Step 3: Cross multiply
    842.18x = 1,254.80 × 795.02
  4. Step 4: Simplify right side
    842.18x = 997,591.10
  5. Step 5: Solve for x
    x = 997,591.10/842.18
  6. Step 6: Final answer
    x = 1,184.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.