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Finding the Fourth Proportional to 834.77, 1,253.07 and 469.67

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Solution

The fourth proportional to 834.77, 1,253.07 and 469.67 is: 705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.77 : 1,253.07 = 469.67 : x
  2. Step 2: Convert to fraction form
    834.77/1,253.07 = 469.67/x
  3. Step 3: Cross multiply
    834.77x = 1,253.07 × 469.67
  4. Step 4: Simplify right side
    834.77x = 588,523.12
  5. Step 5: Solve for x
    x = 588,523.12/834.77
  6. Step 6: Final answer
    x = 705.01

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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.