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Finding the Fourth Proportional to 587.64, 809.76 and 439.20

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Solution

The fourth proportional to 587.64, 809.76 and 439.20 is: 605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.64 : 809.76 = 439.20 : x
  2. Step 2: Convert to fraction form
    587.64/809.76 = 439.20/x
  3. Step 3: Cross multiply
    587.64x = 809.76 × 439.20
  4. Step 4: Simplify right side
    587.64x = 355,646.59
  5. Step 5: Solve for x
    x = 355,646.59/587.64
  6. Step 6: Final answer
    x = 605.21

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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.