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Finding the Fourth Proportional to 503.16, 697.32 and 495.48

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Solution

The fourth proportional to 503.16, 697.32 and 495.48 is: 686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.16 : 697.32 = 495.48 : x
  2. Step 2: Convert to fraction form
    503.16/697.32 = 495.48/x
  3. Step 3: Cross multiply
    503.16x = 697.32 × 495.48
  4. Step 4: Simplify right side
    503.16x = 345,508.11
  5. Step 5: Solve for x
    x = 345,508.11/503.16
  6. Step 6: Final answer
    x = 686.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.