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Finding the Fourth Proportional to 1,342.56, 2,013.59 and 562.35

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Solution

The fourth proportional to 1,342.56, 2,013.59 and 562.35 is: 843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.56 : 2,013.59 = 562.35 : x
  2. Step 2: Convert to fraction form
    1,342.56/2,013.59 = 562.35/x
  3. Step 3: Cross multiply
    1,342.56x = 2,013.59 × 562.35
  4. Step 4: Simplify right side
    1,342.56x = 1,132,343.74
  5. Step 5: Solve for x
    x = 1,132,343.74/1,342.56
  6. Step 6: Final answer
    x = 843.42

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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.