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Finding the Fourth Proportional to 1,310.37, 1,965.15 and 432.71

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Solution

The fourth proportional to 1,310.37, 1,965.15 and 432.71 is: 648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.37 : 1,965.15 = 432.71 : x
  2. Step 2: Convert to fraction form
    1,310.37/1,965.15 = 432.71/x
  3. Step 3: Cross multiply
    1,310.37x = 1,965.15 × 432.71
  4. Step 4: Simplify right side
    1,310.37x = 850,330.23
  5. Step 5: Solve for x
    x = 850,330.23/1,310.37
  6. Step 6: Final answer
    x = 648.92

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1.5x scale

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.