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Finding the Fourth Proportional to 659.41, 988.40 and 416.05

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Solution

The fourth proportional to 659.41, 988.40 and 416.05 is: 623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.41 : 988.40 = 416.05 : x
  2. Step 2: Convert to fraction form
    659.41/988.40 = 416.05/x
  3. Step 3: Cross multiply
    659.41x = 988.40 × 416.05
  4. Step 4: Simplify right side
    659.41x = 411,221.74
  5. Step 5: Solve for x
    x = 411,221.74/659.41
  6. Step 6: Final answer
    x = 623.62

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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.