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Finding the Fourth Proportional to 801.84, 1,208.34 and 764.76

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Solution

The fourth proportional to 801.84, 1,208.34 and 764.76 is: 1,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.84 : 1,208.34 = 764.76 : x
  2. Step 2: Convert to fraction form
    801.84/1,208.34 = 764.76/x
  3. Step 3: Cross multiply
    801.84x = 1,208.34 × 764.76
  4. Step 4: Simplify right side
    801.84x = 924,090.10
  5. Step 5: Solve for x
    x = 924,090.10/801.84
  6. Step 6: Final answer
    x = 1,152.46

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.