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Finding the Fourth Proportional to 659.19, 986.49 and 399.03

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Solution

The fourth proportional to 659.19, 986.49 and 399.03 is: 597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.19 : 986.49 = 399.03 : x
  2. Step 2: Convert to fraction form
    659.19/986.49 = 399.03/x
  3. Step 3: Cross multiply
    659.19x = 986.49 × 399.03
  4. Step 4: Simplify right side
    659.19x = 393,639.10
  5. Step 5: Solve for x
    x = 393,639.10/659.19
  6. Step 6: Final answer
    x = 597.16

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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.