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Finding the Fourth Proportional to 720.56, 994.28 and 589.36

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Solution

The fourth proportional to 720.56, 994.28 and 589.36 is: 813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.56 : 994.28 = 589.36 : x
  2. Step 2: Convert to fraction form
    720.56/994.28 = 589.36/x
  3. Step 3: Cross multiply
    720.56x = 994.28 × 589.36
  4. Step 4: Simplify right side
    720.56x = 585,988.86
  5. Step 5: Solve for x
    x = 585,988.86/720.56
  6. Step 6: Final answer
    x = 813.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.