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Finding the Fourth Proportional to 2,319.01, 3,478.85 and 675.34

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Solution

The fourth proportional to 2,319.01, 3,478.85 and 675.34 is: 1,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.01 : 3,478.85 = 675.34 : x
  2. Step 2: Convert to fraction form
    2,319.01/3,478.85 = 675.34/x
  3. Step 3: Cross multiply
    2,319.01x = 3,478.85 × 675.34
  4. Step 4: Simplify right side
    2,319.01x = 2,349,399.55
  5. Step 5: Solve for x
    x = 2,349,399.55/2,319.01
  6. Step 6: Final answer
    x = 1,013.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.