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Finding the Fourth Proportional to 849.11, 1,274.97 and 526.52

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Solution

The fourth proportional to 849.11, 1,274.97 and 526.52 is: 790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.11 : 1,274.97 = 526.52 : x
  2. Step 2: Convert to fraction form
    849.11/1,274.97 = 526.52/x
  3. Step 3: Cross multiply
    849.11x = 1,274.97 × 526.52
  4. Step 4: Simplify right side
    849.11x = 671,290.83
  5. Step 5: Solve for x
    x = 671,290.83/849.11
  6. Step 6: Final answer
    x = 790.59

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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.