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Finding the Fourth Proportional to 1,762.30, 2,432.01 and 965.65

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Solution

The fourth proportional to 1,762.30, 2,432.01 and 965.65 is: 1,332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.30 : 2,432.01 = 965.65 : x
  2. Step 2: Convert to fraction form
    1,762.30/2,432.01 = 965.65/x
  3. Step 3: Cross multiply
    1,762.30x = 2,432.01 × 965.65
  4. Step 4: Simplify right side
    1,762.30x = 2,348,470.46
  5. Step 5: Solve for x
    x = 2,348,470.46/1,762.30
  6. Step 6: Final answer
    x = 1,332.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.