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Finding the Fourth Proportional to 711, 980.55 and 462.09

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Solution

The fourth proportional to 711, 980.55 and 462.09 is: 637.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    711 : 980.55 = 462.09 : x
  2. Step 2: Convert to fraction form
    711/980.55 = 462.09/x
  3. Step 3: Cross multiply
    711x = 980.55 × 462.09
  4. Step 4: Simplify right side
    711x = 453,102.35
  5. Step 5: Solve for x
    x = 453,102.35/711
  6. Step 6: Final answer
    x = 637.27

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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.