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Finding the Fourth Proportional to 864.65, 1,297.05 and 279.71

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Solution

The fourth proportional to 864.65, 1,297.05 and 279.71 is: 419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.65 : 1,297.05 = 279.71 : x
  2. Step 2: Convert to fraction form
    864.65/1,297.05 = 279.71/x
  3. Step 3: Cross multiply
    864.65x = 1,297.05 × 279.71
  4. Step 4: Simplify right side
    864.65x = 362,797.86
  5. Step 5: Solve for x
    x = 362,797.86/864.65
  6. Step 6: Final answer
    x = 419.59

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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.