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Finding the Fourth Proportional to 503.42, 693.70 and 347.90

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Solution

The fourth proportional to 503.42, 693.70 and 347.90 is: 479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.42 : 693.70 = 347.90 : x
  2. Step 2: Convert to fraction form
    503.42/693.70 = 347.90/x
  3. Step 3: Cross multiply
    503.42x = 693.70 × 347.90
  4. Step 4: Simplify right side
    503.42x = 241,333.89
  5. Step 5: Solve for x
    x = 241,333.89/503.42
  6. Step 6: Final answer
    x = 479.39

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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.