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Finding the Fourth Proportional to 722.86, 998.87 and 526.03

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Solution

The fourth proportional to 722.86, 998.87 and 526.03 is: 726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.86 : 998.87 = 526.03 : x
  2. Step 2: Convert to fraction form
    722.86/998.87 = 526.03/x
  3. Step 3: Cross multiply
    722.86x = 998.87 × 526.03
  4. Step 4: Simplify right side
    722.86x = 525,430.46
  5. Step 5: Solve for x
    x = 525,430.46/722.86
  6. Step 6: Final answer
    x = 726.88

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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.