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Finding the Fourth Proportional to 860.43, 1,289.79 and 340.16

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Solution

The fourth proportional to 860.43, 1,289.79 and 340.16 is: 509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.43 : 1,289.79 = 340.16 : x
  2. Step 2: Convert to fraction form
    860.43/1,289.79 = 340.16/x
  3. Step 3: Cross multiply
    860.43x = 1,289.79 × 340.16
  4. Step 4: Simplify right side
    860.43x = 438,728.52
  5. Step 5: Solve for x
    x = 438,728.52/860.43
  6. Step 6: Final answer
    x = 509.89

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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.