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Finding the Fourth Proportional to 564.75, 779.76 and 389.79

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Solution

The fourth proportional to 564.75, 779.76 and 389.79 is: 538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 779.76 = 389.79 : x
  2. Step 2: Convert to fraction form
    564.75/779.76 = 389.79/x
  3. Step 3: Cross multiply
    564.75x = 779.76 × 389.79
  4. Step 4: Simplify right side
    564.75x = 303,942.65
  5. Step 5: Solve for x
    x = 303,942.65/564.75
  6. Step 6: Final answer
    x = 538.19

Related Problems

Find fourth proportional to 282.38, 389.88 and 194.90
Half scale
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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.