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Finding the Fourth Proportional to 711.80, 999.40 and 711.80

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Solution

The fourth proportional to 711.80, 999.40 and 711.80 is: 999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.80 : 999.40 = 711.80 : x
  2. Step 2: Convert to fraction form
    711.80/999.40 = 711.80/x
  3. Step 3: Cross multiply
    711.80x = 999.40 × 711.80
  4. Step 4: Simplify right side
    711.80x = 711,372.92
  5. Step 5: Solve for x
    x = 711,372.92/711.80
  6. Step 6: Final answer
    x = 999.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.