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Finding the Fourth Proportional to 503.96, 695.10 and 364.55

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Solution

The fourth proportional to 503.96, 695.10 and 364.55 is: 502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.96 : 695.10 = 364.55 : x
  2. Step 2: Convert to fraction form
    503.96/695.10 = 364.55/x
  3. Step 3: Cross multiply
    503.96x = 695.10 × 364.55
  4. Step 4: Simplify right side
    503.96x = 253,395.23
  5. Step 5: Solve for x
    x = 253,395.23/503.96
  6. Step 6: Final answer
    x = 502.81

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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.