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Finding the Fourth Proportional to 659.67, 910.35 and 397.86

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Solution

The fourth proportional to 659.67, 910.35 and 397.86 is: 549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.67 : 910.35 = 397.86 : x
  2. Step 2: Convert to fraction form
    659.67/910.35 = 397.86/x
  3. Step 3: Cross multiply
    659.67x = 910.35 × 397.86
  4. Step 4: Simplify right side
    659.67x = 362,191.85
  5. Step 5: Solve for x
    x = 362,191.85/659.67
  6. Step 6: Final answer
    x = 549.05

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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.