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Finding the Fourth Proportional to 502.02, 687.60 and 477.36

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Solution

The fourth proportional to 502.02, 687.60 and 477.36 is: 653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.02 : 687.60 = 477.36 : x
  2. Step 2: Convert to fraction form
    502.02/687.60 = 477.36/x
  3. Step 3: Cross multiply
    502.02x = 687.60 × 477.36
  4. Step 4: Simplify right side
    502.02x = 328,232.74
  5. Step 5: Solve for x
    x = 328,232.74/502.02
  6. Step 6: Final answer
    x = 653.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.