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Finding the Fourth Proportional to 800.53, 1,104.32 and 520.67

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Solution

The fourth proportional to 800.53, 1,104.32 and 520.67 is: 718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.53 : 1,104.32 = 520.67 : x
  2. Step 2: Convert to fraction form
    800.53/1,104.32 = 520.67/x
  3. Step 3: Cross multiply
    800.53x = 1,104.32 × 520.67
  4. Step 4: Simplify right side
    800.53x = 574,981.86
  5. Step 5: Solve for x
    x = 574,981.86/800.53
  6. Step 6: Final answer
    x = 718.25

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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.