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Finding the Fourth Proportional to 711.98, 983.03 and 446.50

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Solution

The fourth proportional to 711.98, 983.03 and 446.50 is: 616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.98 : 983.03 = 446.50 : x
  2. Step 2: Convert to fraction form
    711.98/983.03 = 446.50/x
  3. Step 3: Cross multiply
    711.98x = 983.03 × 446.50
  4. Step 4: Simplify right side
    711.98x = 438,922.90
  5. Step 5: Solve for x
    x = 438,922.90/711.98
  6. Step 6: Final answer
    x = 616.48

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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.