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Finding the Fourth Proportional to 711.79, 983.46 and 565.54

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Solution

The fourth proportional to 711.79, 983.46 and 565.54 is: 781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.79 : 983.46 = 565.54 : x
  2. Step 2: Convert to fraction form
    711.79/983.46 = 565.54/x
  3. Step 3: Cross multiply
    711.79x = 983.46 × 565.54
  4. Step 4: Simplify right side
    711.79x = 556,185.97
  5. Step 5: Solve for x
    x = 556,185.97/711.79
  6. Step 6: Final answer
    x = 781.39

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Double scale
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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.