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Finding the Fourth Proportional to 503.67, 695.01 and 282.62

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Solution

The fourth proportional to 503.67, 695.01 and 282.62 is: 389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.67 : 695.01 = 282.62 : x
  2. Step 2: Convert to fraction form
    503.67/695.01 = 282.62/x
  3. Step 3: Cross multiply
    503.67x = 695.01 × 282.62
  4. Step 4: Simplify right side
    503.67x = 196,420.25
  5. Step 5: Solve for x
    x = 196,420.25/503.67
  6. Step 6: Final answer
    x = 389.98

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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.