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Finding the Fourth Proportional to 920.45, 1,381.08 and 487.50

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Solution

The fourth proportional to 920.45, 1,381.08 and 487.50 is: 731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.45 : 1,381.08 = 487.50 : x
  2. Step 2: Convert to fraction form
    920.45/1,381.08 = 487.50/x
  3. Step 3: Cross multiply
    920.45x = 1,381.08 × 487.50
  4. Step 4: Simplify right side
    920.45x = 673,276.50
  5. Step 5: Solve for x
    x = 673,276.50/920.45
  6. Step 6: Final answer
    x = 731.47

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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.