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Finding the Fourth Proportional to 961.65, 1,442.27 and 345.39

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Solution

The fourth proportional to 961.65, 1,442.27 and 345.39 is: 518.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.65 : 1,442.27 = 345.39 : x
  2. Step 2: Convert to fraction form
    961.65/1,442.27 = 345.39/x
  3. Step 3: Cross multiply
    961.65x = 1,442.27 × 345.39
  4. Step 4: Simplify right side
    961.65x = 498,146.50
  5. Step 5: Solve for x
    x = 498,146.50/961.65
  6. Step 6: Final answer
    x = 518.01

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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.