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Finding the Fourth Proportional to 834.64, 1,152.27 and 555.25

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Solution

The fourth proportional to 834.64, 1,152.27 and 555.25 is: 766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.64 : 1,152.27 = 555.25 : x
  2. Step 2: Convert to fraction form
    834.64/1,152.27 = 555.25/x
  3. Step 3: Cross multiply
    834.64x = 1,152.27 × 555.25
  4. Step 4: Simplify right side
    834.64x = 639,795.14
  5. Step 5: Solve for x
    x = 639,795.14/834.64
  6. Step 6: Final answer
    x = 766.56

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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.