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Finding the Fourth Proportional to 659.67, 993.91 and 597.21

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Solution

The fourth proportional to 659.67, 993.91 and 597.21 is: 899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.67 : 993.91 = 597.21 : x
  2. Step 2: Convert to fraction form
    659.67/993.91 = 597.21/x
  3. Step 3: Cross multiply
    659.67x = 993.91 × 597.21
  4. Step 4: Simplify right side
    659.67x = 593,572.24
  5. Step 5: Solve for x
    x = 593,572.24/659.67
  6. Step 6: Final answer
    x = 899.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.