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Finding the Fourth Proportional to 502.10, 756.95 and 421.45

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Solution

The fourth proportional to 502.10, 756.95 and 421.45 is: 635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.10 : 756.95 = 421.45 : x
  2. Step 2: Convert to fraction form
    502.10/756.95 = 421.45/x
  3. Step 3: Cross multiply
    502.10x = 756.95 × 421.45
  4. Step 4: Simplify right side
    502.10x = 319,016.84
  5. Step 5: Solve for x
    x = 319,016.84/502.10
  6. Step 6: Final answer
    x = 635.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.