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Finding the Fourth Proportional to 711.06, 980.57 and 462.29

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Solution

The fourth proportional to 711.06, 980.57 and 462.29 is: 637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.06 : 980.57 = 462.29 : x
  2. Step 2: Convert to fraction form
    711.06/980.57 = 462.29/x
  3. Step 3: Cross multiply
    711.06x = 980.57 × 462.29
  4. Step 4: Simplify right side
    711.06x = 453,300.49
  5. Step 5: Solve for x
    x = 453,300.49/711.06
  6. Step 6: Final answer
    x = 637.50

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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.