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Finding the Fourth Proportional to 503.92, 695.46 and 282.88

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Solution

The fourth proportional to 503.92, 695.46 and 282.88 is: 390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.92 : 695.46 = 282.88 : x
  2. Step 2: Convert to fraction form
    503.92/695.46 = 282.88/x
  3. Step 3: Cross multiply
    503.92x = 695.46 × 282.88
  4. Step 4: Simplify right side
    503.92x = 196,731.72
  5. Step 5: Solve for x
    x = 196,731.72/503.92
  6. Step 6: Final answer
    x = 390.40

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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.