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Finding the Fourth Proportional to 920.19, 1,269.86 and 527.21

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Solution

The fourth proportional to 920.19, 1,269.86 and 527.21 is: 727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.19 : 1,269.86 = 527.21 : x
  2. Step 2: Convert to fraction form
    920.19/1,269.86 = 527.21/x
  3. Step 3: Cross multiply
    920.19x = 1,269.86 × 527.21
  4. Step 4: Simplify right side
    920.19x = 669,473.91
  5. Step 5: Solve for x
    x = 669,473.91/920.19
  6. Step 6: Final answer
    x = 727.54

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1.5x scale

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.