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Finding the Fourth Proportional to 502.64, 694.32 and 416.40

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Solution

The fourth proportional to 502.64, 694.32 and 416.40 is: 575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.64 : 694.32 = 416.40 : x
  2. Step 2: Convert to fraction form
    502.64/694.32 = 416.40/x
  3. Step 3: Cross multiply
    502.64x = 694.32 × 416.40
  4. Step 4: Simplify right side
    502.64x = 289,114.85
  5. Step 5: Solve for x
    x = 289,114.85/502.64
  6. Step 6: Final answer
    x = 575.19

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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.