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Finding the Fourth Proportional to 587.71, 879.50 and 464.69

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Solution

The fourth proportional to 587.71, 879.50 and 464.69 is: 695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.71 : 879.50 = 464.69 : x
  2. Step 2: Convert to fraction form
    587.71/879.50 = 464.69/x
  3. Step 3: Cross multiply
    587.71x = 879.50 × 464.69
  4. Step 4: Simplify right side
    587.71x = 408,694.86
  5. Step 5: Solve for x
    x = 408,694.86/587.71
  6. Step 6: Final answer
    x = 695.40

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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.