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Finding the Fourth Proportional to 711.89, 982.19 and 417.08

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Solution

The fourth proportional to 711.89, 982.19 and 417.08 is: 575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.89 : 982.19 = 417.08 : x
  2. Step 2: Convert to fraction form
    711.89/982.19 = 417.08/x
  3. Step 3: Cross multiply
    711.89x = 982.19 × 417.08
  4. Step 4: Simplify right side
    711.89x = 409,655.30
  5. Step 5: Solve for x
    x = 409,655.30/711.89
  6. Step 6: Final answer
    x = 575.45

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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.