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Finding the Fourth Proportional to 854.46, 1,284.53 and 701.53

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Solution

The fourth proportional to 854.46, 1,284.53 and 701.53 is: 1,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.46 : 1,284.53 = 701.53 : x
  2. Step 2: Convert to fraction form
    854.46/1,284.53 = 701.53/x
  3. Step 3: Cross multiply
    854.46x = 1,284.53 × 701.53
  4. Step 4: Simplify right side
    854.46x = 901,129.61
  5. Step 5: Solve for x
    x = 901,129.61/854.46
  6. Step 6: Final answer
    x = 1,054.62

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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.