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Finding the Fourth Proportional to 711.13, 980.85 and 462.67

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Solution

The fourth proportional to 711.13, 980.85 and 462.67 is: 638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.13 : 980.85 = 462.67 : x
  2. Step 2: Convert to fraction form
    711.13/980.85 = 462.67/x
  3. Step 3: Cross multiply
    711.13x = 980.85 × 462.67
  4. Step 4: Simplify right side
    711.13x = 453,809.87
  5. Step 5: Solve for x
    x = 453,809.87/711.13
  6. Step 6: Final answer
    x = 638.15

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1.5x scale

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.