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Finding the Fourth Proportional to 521.36, 778.50 and 466.16

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Solution

The fourth proportional to 521.36, 778.50 and 466.16 is: 696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.36 : 778.50 = 466.16 : x
  2. Step 2: Convert to fraction form
    521.36/778.50 = 466.16/x
  3. Step 3: Cross multiply
    521.36x = 778.50 × 466.16
  4. Step 4: Simplify right side
    521.36x = 362,905.56
  5. Step 5: Solve for x
    x = 362,905.56/521.36
  6. Step 6: Final answer
    x = 696.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.