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Finding the Fourth Proportional to 912.75, 1,369.53 and 426.21

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Solution

The fourth proportional to 912.75, 1,369.53 and 426.21 is: 639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.75 : 1,369.53 = 426.21 : x
  2. Step 2: Convert to fraction form
    912.75/1,369.53 = 426.21/x
  3. Step 3: Cross multiply
    912.75x = 1,369.53 × 426.21
  4. Step 4: Simplify right side
    912.75x = 583,707.38
  5. Step 5: Solve for x
    x = 583,707.38/912.75
  6. Step 6: Final answer
    x = 639.50

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.