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Finding the Fourth Proportional to 659.88, 990.30 and 569.64

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Solution

The fourth proportional to 659.88, 990.30 and 569.64 is: 854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.88 : 990.30 = 569.64 : x
  2. Step 2: Convert to fraction form
    659.88/990.30 = 569.64/x
  3. Step 3: Cross multiply
    659.88x = 990.30 × 569.64
  4. Step 4: Simplify right side
    659.88x = 564,114.49
  5. Step 5: Solve for x
    x = 564,114.49/659.88
  6. Step 6: Final answer
    x = 854.87

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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.