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Finding the Fourth Proportional to 920.54, 1,269.96 and 527.34

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Solution

The fourth proportional to 920.54, 1,269.96 and 527.34 is: 727.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.54 : 1,269.96 = 527.34 : x
  2. Step 2: Convert to fraction form
    920.54/1,269.96 = 527.34/x
  3. Step 3: Cross multiply
    920.54x = 1,269.96 × 527.34
  4. Step 4: Simplify right side
    920.54x = 669,700.71
  5. Step 5: Solve for x
    x = 669,700.71/920.54
  6. Step 6: Final answer
    x = 727.51

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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.