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Finding the Fourth Proportional to 503.52, 695.76 and 405.12

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Solution

The fourth proportional to 503.52, 695.76 and 405.12 is: 559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.52 : 695.76 = 405.12 : x
  2. Step 2: Convert to fraction form
    503.52/695.76 = 405.12/x
  3. Step 3: Cross multiply
    503.52x = 695.76 × 405.12
  4. Step 4: Simplify right side
    503.52x = 281,866.29
  5. Step 5: Solve for x
    x = 281,866.29/503.52
  6. Step 6: Final answer
    x = 559.79

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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.