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Finding the Fourth Proportional to 563.66, 777.77 and 330.74

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Solution

The fourth proportional to 563.66, 777.77 and 330.74 is: 456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.66 : 777.77 = 330.74 : x
  2. Step 2: Convert to fraction form
    563.66/777.77 = 330.74/x
  3. Step 3: Cross multiply
    563.66x = 777.77 × 330.74
  4. Step 4: Simplify right side
    563.66x = 257,239.65
  5. Step 5: Solve for x
    x = 257,239.65/563.66
  6. Step 6: Final answer
    x = 456.37

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Double scale
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Similar ratio
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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.