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Finding the Fourth Proportional to 718.95, 1,077.89 and 286.41

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Solution

The fourth proportional to 718.95, 1,077.89 and 286.41 is: 429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.95 : 1,077.89 = 286.41 : x
  2. Step 2: Convert to fraction form
    718.95/1,077.89 = 286.41/x
  3. Step 3: Cross multiply
    718.95x = 1,077.89 × 286.41
  4. Step 4: Simplify right side
    718.95x = 308,717.04
  5. Step 5: Solve for x
    x = 308,717.04/718.95
  6. Step 6: Final answer
    x = 429.40

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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.