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Finding the Fourth Proportional to 463.50, 690.35 and 440.37

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Solution

The fourth proportional to 463.50, 690.35 and 440.37 is: 655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.50 : 690.35 = 440.37 : x
  2. Step 2: Convert to fraction form
    463.50/690.35 = 440.37/x
  3. Step 3: Cross multiply
    463.50x = 690.35 × 440.37
  4. Step 4: Simplify right side
    463.50x = 304,007.23
  5. Step 5: Solve for x
    x = 304,007.23/463.50
  6. Step 6: Final answer
    x = 655.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.