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Finding the Fourth Proportional to 855.95, 1,282.92 and 753.02

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Solution

The fourth proportional to 855.95, 1,282.92 and 753.02 is: 1,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.95 : 1,282.92 = 753.02 : x
  2. Step 2: Convert to fraction form
    855.95/1,282.92 = 753.02/x
  3. Step 3: Cross multiply
    855.95x = 1,282.92 × 753.02
  4. Step 4: Simplify right side
    855.95x = 966,064.42
  5. Step 5: Solve for x
    x = 966,064.42/855.95
  6. Step 6: Final answer
    x = 1,128.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.