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Finding the Fourth Proportional to 587.95, 882.30 and 280.15

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Solution

The fourth proportional to 587.95, 882.30 and 280.15 is: 420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.95 : 882.30 = 280.15 : x
  2. Step 2: Convert to fraction form
    587.95/882.30 = 280.15/x
  3. Step 3: Cross multiply
    587.95x = 882.30 × 280.15
  4. Step 4: Simplify right side
    587.95x = 247,176.35
  5. Step 5: Solve for x
    x = 247,176.35/587.95
  6. Step 6: Final answer
    x = 420.40

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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.