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Finding the Fourth Proportional to 663.95, 916.95 and 415.85

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Solution

The fourth proportional to 663.95, 916.95 and 415.85 is: 574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.95 : 916.95 = 415.85 : x
  2. Step 2: Convert to fraction form
    663.95/916.95 = 415.85/x
  3. Step 3: Cross multiply
    663.95x = 916.95 × 415.85
  4. Step 4: Simplify right side
    663.95x = 381,313.66
  5. Step 5: Solve for x
    x = 381,313.66/663.95
  6. Step 6: Final answer
    x = 574.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.