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Finding the Fourth Proportional to 589.68, 887.94 and 518.40

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Solution

The fourth proportional to 589.68, 887.94 and 518.40 is: 780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.68 : 887.94 = 518.40 : x
  2. Step 2: Convert to fraction form
    589.68/887.94 = 518.40/x
  3. Step 3: Cross multiply
    589.68x = 887.94 × 518.40
  4. Step 4: Simplify right side
    589.68x = 460,308.10
  5. Step 5: Solve for x
    x = 460,308.10/589.68
  6. Step 6: Final answer
    x = 780.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.