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Finding the Fourth Proportional to 944.77, 1,417.15 and 328.47

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Solution

The fourth proportional to 944.77, 1,417.15 and 328.47 is: 492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.77 : 1,417.15 = 328.47 : x
  2. Step 2: Convert to fraction form
    944.77/1,417.15 = 328.47/x
  3. Step 3: Cross multiply
    944.77x = 1,417.15 × 328.47
  4. Step 4: Simplify right side
    944.77x = 465,493.98
  5. Step 5: Solve for x
    x = 465,493.98/944.77
  6. Step 6: Final answer
    x = 492.71

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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.