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Finding the Fourth Proportional to 563.93, 777.83 and 517.46

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Solution

The fourth proportional to 563.93, 777.83 and 517.46 is: 713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.93 : 777.83 = 517.46 : x
  2. Step 2: Convert to fraction form
    563.93/777.83 = 517.46/x
  3. Step 3: Cross multiply
    563.93x = 777.83 × 517.46
  4. Step 4: Simplify right side
    563.93x = 402,491.38
  5. Step 5: Solve for x
    x = 402,491.38/563.93
  6. Step 6: Final answer
    x = 713.73

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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.