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Finding the Fourth Proportional to 503.56, 695.22 and 405.88

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Solution

The fourth proportional to 503.56, 695.22 and 405.88 is: 560.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.56 : 695.22 = 405.88 : x
  2. Step 2: Convert to fraction form
    503.56/695.22 = 405.88/x
  3. Step 3: Cross multiply
    503.56x = 695.22 × 405.88
  4. Step 4: Simplify right side
    503.56x = 282,175.89
  5. Step 5: Solve for x
    x = 282,175.89/503.56
  6. Step 6: Final answer
    x = 560.36

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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.