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Finding the Fourth Proportional to 920.81, 1,269.82 and 589.12

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Solution

The fourth proportional to 920.81, 1,269.82 and 589.12 is: 812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.81 : 1,269.82 = 589.12 : x
  2. Step 2: Convert to fraction form
    920.81/1,269.82 = 589.12/x
  3. Step 3: Cross multiply
    920.81x = 1,269.82 × 589.12
  4. Step 4: Simplify right side
    920.81x = 748,073.92
  5. Step 5: Solve for x
    x = 748,073.92/920.81
  6. Step 6: Final answer
    x = 812.41

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Double scale
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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.