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Finding the Fourth Proportional to 860.10, 1,289.88 and 495.06

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Solution

The fourth proportional to 860.10, 1,289.88 and 495.06 is: 742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.10 : 1,289.88 = 495.06 : x
  2. Step 2: Convert to fraction form
    860.10/1,289.88 = 495.06/x
  3. Step 3: Cross multiply
    860.10x = 1,289.88 × 495.06
  4. Step 4: Simplify right side
    860.10x = 638,567.99
  5. Step 5: Solve for x
    x = 638,567.99/860.10
  6. Step 6: Final answer
    x = 742.43

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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.