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Finding the Fourth Proportional to 566.66, 781.98 and 314.59

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Solution

The fourth proportional to 566.66, 781.98 and 314.59 is: 434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.66 : 781.98 = 314.59 : x
  2. Step 2: Convert to fraction form
    566.66/781.98 = 314.59/x
  3. Step 3: Cross multiply
    566.66x = 781.98 × 314.59
  4. Step 4: Simplify right side
    566.66x = 246,003.09
  5. Step 5: Solve for x
    x = 246,003.09/566.66
  6. Step 6: Final answer
    x = 434.13

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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.