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Finding the Fourth Proportional to 503.24, 693.96 and 420.32

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Solution

The fourth proportional to 503.24, 693.96 and 420.32 is: 579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.24 : 693.96 = 420.32 : x
  2. Step 2: Convert to fraction form
    503.24/693.96 = 420.32/x
  3. Step 3: Cross multiply
    503.24x = 693.96 × 420.32
  4. Step 4: Simplify right side
    503.24x = 291,685.27
  5. Step 5: Solve for x
    x = 291,685.27/503.24
  6. Step 6: Final answer
    x = 579.61

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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.