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Finding the Fourth Proportional to 905.65, 1,359.29 and 473.11

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Solution

The fourth proportional to 905.65, 1,359.29 and 473.11 is: 710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.65 : 1,359.29 = 473.11 : x
  2. Step 2: Convert to fraction form
    905.65/1,359.29 = 473.11/x
  3. Step 3: Cross multiply
    905.65x = 1,359.29 × 473.11
  4. Step 4: Simplify right side
    905.65x = 643,093.69
  5. Step 5: Solve for x
    x = 643,093.69/905.65
  6. Step 6: Final answer
    x = 710.09

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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.