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Finding the Fourth Proportional to 1,001.72, 1,382.61 and 609.08

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Solution

The fourth proportional to 1,001.72, 1,382.61 and 609.08 is: 840.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.72 : 1,382.61 = 609.08 : x
  2. Step 2: Convert to fraction form
    1,001.72/1,382.61 = 609.08/x
  3. Step 3: Cross multiply
    1,001.72x = 1,382.61 × 609.08
  4. Step 4: Simplify right side
    1,001.72x = 842,113.19
  5. Step 5: Solve for x
    x = 842,113.19/1,001.72
  6. Step 6: Final answer
    x = 840.67

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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.