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Finding the Fourth Proportional to 535.50, 806.90 and 476.57

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Solution

The fourth proportional to 535.50, 806.90 and 476.57 is: 718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.50 : 806.90 = 476.57 : x
  2. Step 2: Convert to fraction form
    535.50/806.90 = 476.57/x
  3. Step 3: Cross multiply
    535.50x = 806.90 × 476.57
  4. Step 4: Simplify right side
    535.50x = 384,537.92
  5. Step 5: Solve for x
    x = 384,537.92/535.50
  6. Step 6: Final answer
    x = 718.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.