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Finding the Fourth Proportional to 515.74, 711.62 and 294.70

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Solution

The fourth proportional to 515.74, 711.62 and 294.70 is: 406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.74 : 711.62 = 294.70 : x
  2. Step 2: Convert to fraction form
    515.74/711.62 = 294.70/x
  3. Step 3: Cross multiply
    515.74x = 711.62 × 294.70
  4. Step 4: Simplify right side
    515.74x = 209,714.41
  5. Step 5: Solve for x
    x = 209,714.41/515.74
  6. Step 6: Final answer
    x = 406.63

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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.