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Finding the Fourth Proportional to 920.89, 1,270.82 and 527.91

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Solution

The fourth proportional to 920.89, 1,270.82 and 527.91 is: 728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.89 : 1,270.82 = 527.91 : x
  2. Step 2: Convert to fraction form
    920.89/1,270.82 = 527.91/x
  3. Step 3: Cross multiply
    920.89x = 1,270.82 × 527.91
  4. Step 4: Simplify right side
    920.89x = 670,875.14
  5. Step 5: Solve for x
    x = 670,875.14/920.89
  6. Step 6: Final answer
    x = 728.51

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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.