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Finding the Fourth Proportional to 503.52, 697.56 and 492.16

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Solution

The fourth proportional to 503.52, 697.56 and 492.16 is: 681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.52 : 697.56 = 492.16 : x
  2. Step 2: Convert to fraction form
    503.52/697.56 = 492.16/x
  3. Step 3: Cross multiply
    503.52x = 697.56 × 492.16
  4. Step 4: Simplify right side
    503.52x = 343,311.13
  5. Step 5: Solve for x
    x = 343,311.13/503.52
  6. Step 6: Final answer
    x = 681.82

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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.