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Finding the Fourth Proportional to 1,580.59, 2,369.85 and 484.66

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Solution

The fourth proportional to 1,580.59, 2,369.85 and 484.66 is: 726.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.59 : 2,369.85 = 484.66 : x
  2. Step 2: Convert to fraction form
    1,580.59/2,369.85 = 484.66/x
  3. Step 3: Cross multiply
    1,580.59x = 2,369.85 × 484.66
  4. Step 4: Simplify right side
    1,580.59x = 1,148,571.50
  5. Step 5: Solve for x
    x = 1,148,571.50/1,580.59
  6. Step 6: Final answer
    x = 726.67

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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.