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Finding the Fourth Proportional to 566.75, 781.39 and 409.30

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Solution

The fourth proportional to 566.75, 781.39 and 409.30 is: 564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.75 : 781.39 = 409.30 : x
  2. Step 2: Convert to fraction form
    566.75/781.39 = 409.30/x
  3. Step 3: Cross multiply
    566.75x = 781.39 × 409.30
  4. Step 4: Simplify right side
    566.75x = 319,822.93
  5. Step 5: Solve for x
    x = 319,822.93/566.75
  6. Step 6: Final answer
    x = 564.31

Related Problems

Find fourth proportional to 283.38, 390.70 and 204.65
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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.