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Finding the Fourth Proportional to 502.05, 693.06 and 360.36

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Solution

The fourth proportional to 502.05, 693.06 and 360.36 is: 497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.05 : 693.06 = 360.36 : x
  2. Step 2: Convert to fraction form
    502.05/693.06 = 360.36/x
  3. Step 3: Cross multiply
    502.05x = 693.06 × 360.36
  4. Step 4: Simplify right side
    502.05x = 249,751.10
  5. Step 5: Solve for x
    x = 249,751.10/502.05
  6. Step 6: Final answer
    x = 497.46

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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.