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Finding the Fourth Proportional to 503.83, 695.31 and 282.78

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Solution

The fourth proportional to 503.83, 695.31 and 282.78 is: 390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.83 : 695.31 = 282.78 : x
  2. Step 2: Convert to fraction form
    503.83/695.31 = 282.78/x
  3. Step 3: Cross multiply
    503.83x = 695.31 × 282.78
  4. Step 4: Simplify right side
    503.83x = 196,619.76
  5. Step 5: Solve for x
    x = 196,619.76/503.83
  6. Step 6: Final answer
    x = 390.25

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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.