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Finding the Fourth Proportional to 854.54, 1,275.57 and 733.58

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Solution

The fourth proportional to 854.54, 1,275.57 and 733.58 is: 1,095.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.54 : 1,275.57 = 733.58 : x
  2. Step 2: Convert to fraction form
    854.54/1,275.57 = 733.58/x
  3. Step 3: Cross multiply
    854.54x = 1,275.57 × 733.58
  4. Step 4: Simplify right side
    854.54x = 935,732.64
  5. Step 5: Solve for x
    x = 935,732.64/854.54
  6. Step 6: Final answer
    x = 1,095.01

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1.5x scale

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.