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Finding the Fourth Proportional to 893.92, 1,233.40 and 520.67

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Solution

The fourth proportional to 893.92, 1,233.40 and 520.67 is: 718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.92 : 1,233.40 = 520.67 : x
  2. Step 2: Convert to fraction form
    893.92/1,233.40 = 520.67/x
  3. Step 3: Cross multiply
    893.92x = 1,233.40 × 520.67
  4. Step 4: Simplify right side
    893.92x = 642,191.77
  5. Step 5: Solve for x
    x = 642,191.77/893.92
  6. Step 6: Final answer
    x = 718.40

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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.