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Finding the Fourth Proportional to 659.98, 910.89 and 398.14

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Solution

The fourth proportional to 659.98, 910.89 and 398.14 is: 549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.98 : 910.89 = 398.14 : x
  2. Step 2: Convert to fraction form
    659.98/910.89 = 398.14/x
  3. Step 3: Cross multiply
    659.98x = 910.89 × 398.14
  4. Step 4: Simplify right side
    659.98x = 362,661.74
  5. Step 5: Solve for x
    x = 362,661.74/659.98
  6. Step 6: Final answer
    x = 549.50

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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.