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Finding the Fourth Proportional to 899.87, 1,241.77 and 526.78

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Solution

The fourth proportional to 899.87, 1,241.77 and 526.78 is: 726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.87 : 1,241.77 = 526.78 : x
  2. Step 2: Convert to fraction form
    899.87/1,241.77 = 526.78/x
  3. Step 3: Cross multiply
    899.87x = 1,241.77 × 526.78
  4. Step 4: Simplify right side
    899.87x = 654,130.76
  5. Step 5: Solve for x
    x = 654,130.76/899.87
  6. Step 6: Final answer
    x = 726.92

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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.