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Finding the Fourth Proportional to 711.99, 982.63 and 417.45

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Solution

The fourth proportional to 711.99, 982.63 and 417.45 is: 576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.99 : 982.63 = 417.45 : x
  2. Step 2: Convert to fraction form
    711.99/982.63 = 417.45/x
  3. Step 3: Cross multiply
    711.99x = 982.63 × 417.45
  4. Step 4: Simplify right side
    711.99x = 410,203.10
  5. Step 5: Solve for x
    x = 410,203.10/711.99
  6. Step 6: Final answer
    x = 576.14

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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.