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Finding the Fourth Proportional to 564.76, 779.02 and 387.64

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Solution

The fourth proportional to 564.76, 779.02 and 387.64 is: 534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.76 : 779.02 = 387.64 : x
  2. Step 2: Convert to fraction form
    564.76/779.02 = 387.64/x
  3. Step 3: Cross multiply
    564.76x = 779.02 × 387.64
  4. Step 4: Simplify right side
    564.76x = 301,979.31
  5. Step 5: Solve for x
    x = 301,979.31/564.76
  6. Step 6: Final answer
    x = 534.70

Related Problems

Find fourth proportional to 282.38, 389.51 and 193.82
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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.