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Finding the Fourth Proportional to 505.42, 697.47 and 284.39

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Solution

The fourth proportional to 505.42, 697.47 and 284.39 is: 392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.42 : 697.47 = 284.39 : x
  2. Step 2: Convert to fraction form
    505.42/697.47 = 284.39/x
  3. Step 3: Cross multiply
    505.42x = 697.47 × 284.39
  4. Step 4: Simplify right side
    505.42x = 198,353.49
  5. Step 5: Solve for x
    x = 198,353.49/505.42
  6. Step 6: Final answer
    x = 392.45

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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.