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Finding the Fourth Proportional to 920.70, 1,286.55 and 920.70

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Solution

The fourth proportional to 920.70, 1,286.55 and 920.70 is: 1,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.70 : 1,286.55 = 920.70 : x
  2. Step 2: Convert to fraction form
    920.70/1,286.55 = 920.70/x
  3. Step 3: Cross multiply
    920.70x = 1,286.55 × 920.70
  4. Step 4: Simplify right side
    920.70x = 1,184,526.59
  5. Step 5: Solve for x
    x = 1,184,526.59/920.70
  6. Step 6: Final answer
    x = 1,286.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.