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Finding the Fourth Proportional to 503.08, 695.10 and 415.96

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Solution

The fourth proportional to 503.08, 695.10 and 415.96 is: 574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.08 : 695.10 = 415.96 : x
  2. Step 2: Convert to fraction form
    503.08/695.10 = 415.96/x
  3. Step 3: Cross multiply
    503.08x = 695.10 × 415.96
  4. Step 4: Simplify right side
    503.08x = 289,133.80
  5. Step 5: Solve for x
    x = 289,133.80/503.08
  6. Step 6: Final answer
    x = 574.73

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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.