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Finding the Fourth Proportional to 723.88, 1,086.24 and 477.40

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Solution

The fourth proportional to 723.88, 1,086.24 and 477.40 is: 716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.88 : 1,086.24 = 477.40 : x
  2. Step 2: Convert to fraction form
    723.88/1,086.24 = 477.40/x
  3. Step 3: Cross multiply
    723.88x = 1,086.24 × 477.40
  4. Step 4: Simplify right side
    723.88x = 518,570.98
  5. Step 5: Solve for x
    x = 518,570.98/723.88
  6. Step 6: Final answer
    x = 716.38

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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.