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Finding the Fourth Proportional to 505.35, 697.32 and 284.27

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Solution

The fourth proportional to 505.35, 697.32 and 284.27 is: 392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.35 : 697.32 = 284.27 : x
  2. Step 2: Convert to fraction form
    505.35/697.32 = 284.27/x
  3. Step 3: Cross multiply
    505.35x = 697.32 × 284.27
  4. Step 4: Simplify right side
    505.35x = 198,223.67
  5. Step 5: Solve for x
    x = 198,223.67/505.35
  6. Step 6: Final answer
    x = 392.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.