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Finding the Fourth Proportional to 965.12, 1,447.80 and 315.63

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Solution

The fourth proportional to 965.12, 1,447.80 and 315.63 is: 473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.12 : 1,447.80 = 315.63 : x
  2. Step 2: Convert to fraction form
    965.12/1,447.80 = 315.63/x
  3. Step 3: Cross multiply
    965.12x = 1,447.80 × 315.63
  4. Step 4: Simplify right side
    965.12x = 456,969.11
  5. Step 5: Solve for x
    x = 456,969.11/965.12
  6. Step 6: Final answer
    x = 473.49

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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.