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Finding the Fourth Proportional to 920.57, 1,381.05 and 372.67

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Solution

The fourth proportional to 920.57, 1,381.05 and 372.67 is: 559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.57 : 1,381.05 = 372.67 : x
  2. Step 2: Convert to fraction form
    920.57/1,381.05 = 372.67/x
  3. Step 3: Cross multiply
    920.57x = 1,381.05 × 372.67
  4. Step 4: Simplify right side
    920.57x = 514,672.45
  5. Step 5: Solve for x
    x = 514,672.45/920.57
  6. Step 6: Final answer
    x = 559.08

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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.