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Finding the Fourth Proportional to 803.33, 1,211.20 and 642.95

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Solution

The fourth proportional to 803.33, 1,211.20 and 642.95 is: 969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.33 : 1,211.20 = 642.95 : x
  2. Step 2: Convert to fraction form
    803.33/1,211.20 = 642.95/x
  3. Step 3: Cross multiply
    803.33x = 1,211.20 × 642.95
  4. Step 4: Simplify right side
    803.33x = 778,741.04
  5. Step 5: Solve for x
    x = 778,741.04/803.33
  6. Step 6: Final answer
    x = 969.39

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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.