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Finding the Fourth Proportional to 587.10, 809.08 and 421.02

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Solution

The fourth proportional to 587.10, 809.08 and 421.02 is: 580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.10 : 809.08 = 421.02 : x
  2. Step 2: Convert to fraction form
    587.10/809.08 = 421.02/x
  3. Step 3: Cross multiply
    587.10x = 809.08 × 421.02
  4. Step 4: Simplify right side
    587.10x = 340,641.27
  5. Step 5: Solve for x
    x = 340,641.27/587.10
  6. Step 6: Final answer
    x = 580.21

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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.