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Finding the Fourth Proportional to 959.41, 1,439.08 and 310.13

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Solution

The fourth proportional to 959.41, 1,439.08 and 310.13 is: 465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.41 : 1,439.08 = 310.13 : x
  2. Step 2: Convert to fraction form
    959.41/1,439.08 = 310.13/x
  3. Step 3: Cross multiply
    959.41x = 1,439.08 × 310.13
  4. Step 4: Simplify right side
    959.41x = 446,293.91
  5. Step 5: Solve for x
    x = 446,293.91/959.41
  6. Step 6: Final answer
    x = 465.18

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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.