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Finding the Fourth Proportional to 920.09, 1,270.01 and 527.38

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Solution

The fourth proportional to 920.09, 1,270.01 and 527.38 is: 727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.09 : 1,270.01 = 527.38 : x
  2. Step 2: Convert to fraction form
    920.09/1,270.01 = 527.38/x
  3. Step 3: Cross multiply
    920.09x = 1,270.01 × 527.38
  4. Step 4: Simplify right side
    920.09x = 669,776.02
  5. Step 5: Solve for x
    x = 669,776.02/920.09
  6. Step 6: Final answer
    x = 727.94

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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.