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Finding the Fourth Proportional to 854.54, 1,177.72 and 589.00

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Solution

The fourth proportional to 854.54, 1,177.72 and 589.00 is: 811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.54 : 1,177.72 = 589.00 : x
  2. Step 2: Convert to fraction form
    854.54/1,177.72 = 589.00/x
  3. Step 3: Cross multiply
    854.54x = 1,177.72 × 589.00
  4. Step 4: Simplify right side
    854.54x = 693,672.66
  5. Step 5: Solve for x
    x = 693,672.66/854.54
  6. Step 6: Final answer
    x = 811.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.