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Finding the Fourth Proportional to 566.75, 782.11 and 318.09

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Solution

The fourth proportional to 566.75, 782.11 and 318.09 is: 438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.75 : 782.11 = 318.09 : x
  2. Step 2: Convert to fraction form
    566.75/782.11 = 318.09/x
  3. Step 3: Cross multiply
    566.75x = 782.11 × 318.09
  4. Step 4: Simplify right side
    566.75x = 248,781.37
  5. Step 5: Solve for x
    x = 248,781.37/566.75
  6. Step 6: Final answer
    x = 438.96

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Find fourth proportional to 283.38, 391.06 and 159.05
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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.