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Finding the Fourth Proportional to 505.70, 697.85 and 284.66

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Solution

The fourth proportional to 505.70, 697.85 and 284.66 is: 392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.70 : 697.85 = 284.66 : x
  2. Step 2: Convert to fraction form
    505.70/697.85 = 284.66/x
  3. Step 3: Cross multiply
    505.70x = 697.85 × 284.66
  4. Step 4: Simplify right side
    505.70x = 198,645.07
  5. Step 5: Solve for x
    x = 198,645.07/505.70
  6. Step 6: Final answer
    x = 392.82

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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.