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Finding the Fourth Proportional to 876.45, 1,313.31 and 486.24

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Solution

The fourth proportional to 876.45, 1,313.31 and 486.24 is: 728.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.45 : 1,313.31 = 486.24 : x
  2. Step 2: Convert to fraction form
    876.45/1,313.31 = 486.24/x
  3. Step 3: Cross multiply
    876.45x = 1,313.31 × 486.24
  4. Step 4: Simplify right side
    876.45x = 638,583.85
  5. Step 5: Solve for x
    x = 638,583.85/876.45
  6. Step 6: Final answer
    x = 728.60

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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.