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Finding the Fourth Proportional to 586.02, 806.92 and 511.91

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Solution

The fourth proportional to 586.02, 806.92 and 511.91 is: 704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.02 : 806.92 = 511.91 : x
  2. Step 2: Convert to fraction form
    586.02/806.92 = 511.91/x
  3. Step 3: Cross multiply
    586.02x = 806.92 × 511.91
  4. Step 4: Simplify right side
    586.02x = 413,070.42
  5. Step 5: Solve for x
    x = 413,070.42/586.02
  6. Step 6: Final answer
    x = 704.87

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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.