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Finding the Fourth Proportional to 1,077.50, 1,616.33 and 347.10

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Solution

The fourth proportional to 1,077.50, 1,616.33 and 347.10 is: 520.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.50 : 1,616.33 = 347.10 : x
  2. Step 2: Convert to fraction form
    1,077.50/1,616.33 = 347.10/x
  3. Step 3: Cross multiply
    1,077.50x = 1,616.33 × 347.10
  4. Step 4: Simplify right side
    1,077.50x = 561,020.06
  5. Step 5: Solve for x
    x = 561,020.06/1,077.50
  6. Step 6: Final answer
    x = 520.67

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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.