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Finding the Fourth Proportional to 504.73, 697.05 and 339.61

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Solution

The fourth proportional to 504.73, 697.05 and 339.61 is: 469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.73 : 697.05 = 339.61 : x
  2. Step 2: Convert to fraction form
    504.73/697.05 = 339.61/x
  3. Step 3: Cross multiply
    504.73x = 697.05 × 339.61
  4. Step 4: Simplify right side
    504.73x = 236,725.15
  5. Step 5: Solve for x
    x = 236,725.15/504.73
  6. Step 6: Final answer
    x = 469.01

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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.