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Finding the Fourth Proportional to 503.56, 698.35 and 471.88

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Solution

The fourth proportional to 503.56, 698.35 and 471.88 is: 654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.56 : 698.35 = 471.88 : x
  2. Step 2: Convert to fraction form
    503.56/698.35 = 471.88/x
  3. Step 3: Cross multiply
    503.56x = 698.35 × 471.88
  4. Step 4: Simplify right side
    503.56x = 329,537.40
  5. Step 5: Solve for x
    x = 329,537.40/503.56
  6. Step 6: Final answer
    x = 654.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.