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Finding the Fourth Proportional to 964.77, 1,447.38 and 315.50

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Solution

The fourth proportional to 964.77, 1,447.38 and 315.50 is: 473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.77 : 1,447.38 = 315.50 : x
  2. Step 2: Convert to fraction form
    964.77/1,447.38 = 315.50/x
  3. Step 3: Cross multiply
    964.77x = 1,447.38 × 315.50
  4. Step 4: Simplify right side
    964.77x = 456,648.39
  5. Step 5: Solve for x
    x = 456,648.39/964.77
  6. Step 6: Final answer
    x = 473.32

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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.