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Finding the Fourth Proportional to 959.16, 1,437.85 and 342.75

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Solution

The fourth proportional to 959.16, 1,437.85 and 342.75 is: 513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.16 : 1,437.85 = 342.75 : x
  2. Step 2: Convert to fraction form
    959.16/1,437.85 = 342.75/x
  3. Step 3: Cross multiply
    959.16x = 1,437.85 × 342.75
  4. Step 4: Simplify right side
    959.16x = 492,823.09
  5. Step 5: Solve for x
    x = 492,823.09/959.16
  6. Step 6: Final answer
    x = 513.81

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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.