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Finding the Fourth Proportional to 503.64, 695.08 and 364.20

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Solution

The fourth proportional to 503.64, 695.08 and 364.20 is: 502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.64 : 695.08 = 364.20 : x
  2. Step 2: Convert to fraction form
    503.64/695.08 = 364.20/x
  3. Step 3: Cross multiply
    503.64x = 695.08 × 364.20
  4. Step 4: Simplify right side
    503.64x = 253,148.14
  5. Step 5: Solve for x
    x = 253,148.14/503.64
  6. Step 6: Final answer
    x = 502.64

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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.