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Finding the Fourth Proportional to 503.06, 693.81 and 444.08

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Solution

The fourth proportional to 503.06, 693.81 and 444.08 is: 612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.06 : 693.81 = 444.08 : x
  2. Step 2: Convert to fraction form
    503.06/693.81 = 444.08/x
  3. Step 3: Cross multiply
    503.06x = 693.81 × 444.08
  4. Step 4: Simplify right side
    503.06x = 308,108.88
  5. Step 5: Solve for x
    x = 308,108.88/503.06
  6. Step 6: Final answer
    x = 612.48

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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.