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Finding the Fourth Proportional to 587.32, 809.46 and 521.72

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Solution

The fourth proportional to 587.32, 809.46 and 521.72 is: 719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.32 : 809.46 = 521.72 : x
  2. Step 2: Convert to fraction form
    587.32/809.46 = 521.72/x
  3. Step 3: Cross multiply
    587.32x = 809.46 × 521.72
  4. Step 4: Simplify right side
    587.32x = 422,311.47
  5. Step 5: Solve for x
    x = 422,311.47/587.32
  6. Step 6: Final answer
    x = 719.05

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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.