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Finding the Fourth Proportional to 511.05, 766.36 and 315.77

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Solution

The fourth proportional to 511.05, 766.36 and 315.77 is: 473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.05 : 766.36 = 315.77 : x
  2. Step 2: Convert to fraction form
    511.05/766.36 = 315.77/x
  3. Step 3: Cross multiply
    511.05x = 766.36 × 315.77
  4. Step 4: Simplify right side
    511.05x = 241,990.95
  5. Step 5: Solve for x
    x = 241,990.95/511.05
  6. Step 6: Final answer
    x = 473.52

Related Problems

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Half scale
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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.