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Finding the Fourth Proportional to 659.95, 989.93 and 416.14

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Solution

The fourth proportional to 659.95, 989.93 and 416.14 is: 624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.95 : 989.93 = 416.14 : x
  2. Step 2: Convert to fraction form
    659.95/989.93 = 416.14/x
  3. Step 3: Cross multiply
    659.95x = 989.93 × 416.14
  4. Step 4: Simplify right side
    659.95x = 411,947.39
  5. Step 5: Solve for x
    x = 411,947.39/659.95
  6. Step 6: Final answer
    x = 624.21

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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.