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Finding the Fourth Proportional to 722.32, 998.28 and 536.08

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Solution

The fourth proportional to 722.32, 998.28 and 536.08 is: 740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.32 : 998.28 = 536.08 : x
  2. Step 2: Convert to fraction form
    722.32/998.28 = 536.08/x
  3. Step 3: Cross multiply
    722.32x = 998.28 × 536.08
  4. Step 4: Simplify right side
    722.32x = 535,157.94
  5. Step 5: Solve for x
    x = 535,157.94/722.32
  6. Step 6: Final answer
    x = 740.89

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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.