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Finding the Fourth Proportional to 537.09, 806.45 and 510.66

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Solution

The fourth proportional to 537.09, 806.45 and 510.66 is: 766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.09 : 806.45 = 510.66 : x
  2. Step 2: Convert to fraction form
    537.09/806.45 = 510.66/x
  3. Step 3: Cross multiply
    537.09x = 806.45 × 510.66
  4. Step 4: Simplify right side
    537.09x = 411,819.20
  5. Step 5: Solve for x
    x = 411,819.20/537.09
  6. Step 6: Final answer
    x = 766.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.