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Finding the Fourth Proportional to 663.85, 916.09 and 369.10

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Solution

The fourth proportional to 663.85, 916.09 and 369.10 is: 509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.85 : 916.09 = 369.10 : x
  2. Step 2: Convert to fraction form
    663.85/916.09 = 369.10/x
  3. Step 3: Cross multiply
    663.85x = 916.09 × 369.10
  4. Step 4: Simplify right side
    663.85x = 338,128.82
  5. Step 5: Solve for x
    x = 338,128.82/663.85
  6. Step 6: Final answer
    x = 509.35

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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.