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Finding the Fourth Proportional to 505.61, 697.76 and 284.56

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Solution

The fourth proportional to 505.61, 697.76 and 284.56 is: 392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.61 : 697.76 = 284.56 : x
  2. Step 2: Convert to fraction form
    505.61/697.76 = 284.56/x
  3. Step 3: Cross multiply
    505.61x = 697.76 × 284.56
  4. Step 4: Simplify right side
    505.61x = 198,551.42
  5. Step 5: Solve for x
    x = 198,551.42/505.61
  6. Step 6: Final answer
    x = 392.69

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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.