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Finding the Fourth Proportional to 834.93, 1,152.15 and 480.61

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Solution

The fourth proportional to 834.93, 1,152.15 and 480.61 is: 663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.93 : 1,152.15 = 480.61 : x
  2. Step 2: Convert to fraction form
    834.93/1,152.15 = 480.61/x
  3. Step 3: Cross multiply
    834.93x = 1,152.15 × 480.61
  4. Step 4: Simplify right side
    834.93x = 553,734.81
  5. Step 5: Solve for x
    x = 553,734.81/834.93
  6. Step 6: Final answer
    x = 663.21

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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.