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Finding the Fourth Proportional to 503.67, 695.28 and 356.37

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Solution

The fourth proportional to 503.67, 695.28 and 356.37 is: 491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.67 : 695.28 = 356.37 : x
  2. Step 2: Convert to fraction form
    503.67/695.28 = 356.37/x
  3. Step 3: Cross multiply
    503.67x = 695.28 × 356.37
  4. Step 4: Simplify right side
    503.67x = 247,776.93
  5. Step 5: Solve for x
    x = 247,776.93/503.67
  6. Step 6: Final answer
    x = 491.94

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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.