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Finding the Fourth Proportional to 566.68, 781.70 and 345.68

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Solution

The fourth proportional to 566.68, 781.70 and 345.68 is: 476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.68 : 781.70 = 345.68 : x
  2. Step 2: Convert to fraction form
    566.68/781.70 = 345.68/x
  3. Step 3: Cross multiply
    566.68x = 781.70 × 345.68
  4. Step 4: Simplify right side
    566.68x = 270,218.06
  5. Step 5: Solve for x
    x = 270,218.06/566.68
  6. Step 6: Final answer
    x = 476.84

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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.