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Finding the Fourth Proportional to 864.91, 1,297.53 and 280.05

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Solution

The fourth proportional to 864.91, 1,297.53 and 280.05 is: 420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.91 : 1,297.53 = 280.05 : x
  2. Step 2: Convert to fraction form
    864.91/1,297.53 = 280.05/x
  3. Step 3: Cross multiply
    864.91x = 1,297.53 × 280.05
  4. Step 4: Simplify right side
    864.91x = 363,378.14
  5. Step 5: Solve for x
    x = 363,378.14/864.91
  6. Step 6: Final answer
    x = 420.14

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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.