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Finding the Fourth Proportional to 927.05, 1,390.69 and 433.21

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Solution

The fourth proportional to 927.05, 1,390.69 and 433.21 is: 649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.05 : 1,390.69 = 433.21 : x
  2. Step 2: Convert to fraction form
    927.05/1,390.69 = 433.21/x
  3. Step 3: Cross multiply
    927.05x = 1,390.69 × 433.21
  4. Step 4: Simplify right side
    927.05x = 602,457.79
  5. Step 5: Solve for x
    x = 602,457.79/927.05
  6. Step 6: Final answer
    x = 649.86

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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.