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Finding the Fourth Proportional to 726.28, 1,084.99 and 464.19

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Solution

The fourth proportional to 726.28, 1,084.99 and 464.19 is: 693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.28 : 1,084.99 = 464.19 : x
  2. Step 2: Convert to fraction form
    726.28/1,084.99 = 464.19/x
  3. Step 3: Cross multiply
    726.28x = 1,084.99 × 464.19
  4. Step 4: Simplify right side
    726.28x = 503,641.51
  5. Step 5: Solve for x
    x = 503,641.51/726.28
  6. Step 6: Final answer
    x = 693.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.