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Finding the Fourth Proportional to 860.23, 1,289.85 and 339.91

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Solution

The fourth proportional to 860.23, 1,289.85 and 339.91 is: 509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.23 : 1,289.85 = 339.91 : x
  2. Step 2: Convert to fraction form
    860.23/1,289.85 = 339.91/x
  3. Step 3: Cross multiply
    860.23x = 1,289.85 × 339.91
  4. Step 4: Simplify right side
    860.23x = 438,432.91
  5. Step 5: Solve for x
    x = 438,432.91/860.23
  6. Step 6: Final answer
    x = 509.67

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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.