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Finding the Fourth Proportional to 918.69, 1,268.10 and 526.11

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Solution

The fourth proportional to 918.69, 1,268.10 and 526.11 is: 726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.69 : 1,268.10 = 526.11 : x
  2. Step 2: Convert to fraction form
    918.69/1,268.10 = 526.11/x
  3. Step 3: Cross multiply
    918.69x = 1,268.10 × 526.11
  4. Step 4: Simplify right side
    918.69x = 667,160.09
  5. Step 5: Solve for x
    x = 667,160.09/918.69
  6. Step 6: Final answer
    x = 726.21

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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.