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Finding the Fourth Proportional to 944.77, 1,417.17 and 286.66

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Solution

The fourth proportional to 944.77, 1,417.17 and 286.66 is: 429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.77 : 1,417.17 = 286.66 : x
  2. Step 2: Convert to fraction form
    944.77/1,417.17 = 286.66/x
  3. Step 3: Cross multiply
    944.77x = 1,417.17 × 286.66
  4. Step 4: Simplify right side
    944.77x = 406,239.88
  5. Step 5: Solve for x
    x = 406,239.88/944.77
  6. Step 6: Final answer
    x = 429.99

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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.