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Finding the Fourth Proportional to 503.84, 695.28 and 282.77

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Solution

The fourth proportional to 503.84, 695.28 and 282.77 is: 390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.84 : 695.28 = 282.77 : x
  2. Step 2: Convert to fraction form
    503.84/695.28 = 282.77/x
  3. Step 3: Cross multiply
    503.84x = 695.28 × 282.77
  4. Step 4: Simplify right side
    503.84x = 196,604.33
  5. Step 5: Solve for x
    x = 196,604.33/503.84
  6. Step 6: Final answer
    x = 390.21

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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.