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Finding the Fourth Proportional to 503.76, 695.13 and 282.69

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Solution

The fourth proportional to 503.76, 695.13 and 282.69 is: 390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.76 : 695.13 = 282.69 : x
  2. Step 2: Convert to fraction form
    503.76/695.13 = 282.69/x
  3. Step 3: Cross multiply
    503.76x = 695.13 × 282.69
  4. Step 4: Simplify right side
    503.76x = 196,506.30
  5. Step 5: Solve for x
    x = 196,506.30/503.76
  6. Step 6: Final answer
    x = 390.08

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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.