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Finding the Fourth Proportional to 503.77, 695.25 and 282.71

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Solution

The fourth proportional to 503.77, 695.25 and 282.71 is: 390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.77 : 695.25 = 282.71 : x
  2. Step 2: Convert to fraction form
    503.77/695.25 = 282.71/x
  3. Step 3: Cross multiply
    503.77x = 695.25 × 282.71
  4. Step 4: Simplify right side
    503.77x = 196,550.65
  5. Step 5: Solve for x
    x = 196,550.65/503.77
  6. Step 6: Final answer
    x = 390.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.