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Finding the Fourth Proportional to 1,333.78, 2,001.51 and 564.28

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Solution

The fourth proportional to 1,333.78, 2,001.51 and 564.28 is: 846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.78 : 2,001.51 = 564.28 : x
  2. Step 2: Convert to fraction form
    1,333.78/2,001.51 = 564.28/x
  3. Step 3: Cross multiply
    1,333.78x = 2,001.51 × 564.28
  4. Step 4: Simplify right side
    1,333.78x = 1,129,412.06
  5. Step 5: Solve for x
    x = 1,129,412.06/1,333.78
  6. Step 6: Final answer
    x = 846.78

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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.