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Finding the Fourth Proportional to 723.40, 1,083.88 and 578.81

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Solution

The fourth proportional to 723.40, 1,083.88 and 578.81 is: 867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.40 : 1,083.88 = 578.81 : x
  2. Step 2: Convert to fraction form
    723.40/1,083.88 = 578.81/x
  3. Step 3: Cross multiply
    723.40x = 1,083.88 × 578.81
  4. Step 4: Simplify right side
    723.40x = 627,364.02
  5. Step 5: Solve for x
    x = 627,364.02/723.40
  6. Step 6: Final answer
    x = 867.25

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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.