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Finding the Fourth Proportional to 503.63, 695.04 and 282.59

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Solution

The fourth proportional to 503.63, 695.04 and 282.59 is: 389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.63 : 695.04 = 282.59 : x
  2. Step 2: Convert to fraction form
    503.63/695.04 = 282.59/x
  3. Step 3: Cross multiply
    503.63x = 695.04 × 282.59
  4. Step 4: Simplify right side
    503.63x = 196,411.35
  5. Step 5: Solve for x
    x = 196,411.35/503.63
  6. Step 6: Final answer
    x = 389.99

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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.