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Finding the Fourth Proportional to 1,561.78, 2,343.14 and 466.18

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Solution

The fourth proportional to 1,561.78, 2,343.14 and 466.18 is: 699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.78 : 2,343.14 = 466.18 : x
  2. Step 2: Convert to fraction form
    1,561.78/2,343.14 = 466.18/x
  3. Step 3: Cross multiply
    1,561.78x = 2,343.14 × 466.18
  4. Step 4: Simplify right side
    1,561.78x = 1,092,325.01
  5. Step 5: Solve for x
    x = 1,092,325.01/1,561.78
  6. Step 6: Final answer
    x = 699.41

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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.