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Finding the Fourth Proportional to 521.37, 778.21 and 466.56

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Solution

The fourth proportional to 521.37, 778.21 and 466.56 is: 696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.37 : 778.21 = 466.56 : x
  2. Step 2: Convert to fraction form
    521.37/778.21 = 466.56/x
  3. Step 3: Cross multiply
    521.37x = 778.21 × 466.56
  4. Step 4: Simplify right side
    521.37x = 363,080.49
  5. Step 5: Solve for x
    x = 363,080.49/521.37
  6. Step 6: Final answer
    x = 696.40

Related Problems

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Half scale
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Double scale
Find fourth proportional to 522.37, 779.70 and 467.56
Similar ratio
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1.5x scale

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.