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Finding the Fourth Proportional to 585.39, 805.43 and 511.89

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Solution

The fourth proportional to 585.39, 805.43 and 511.89 is: 704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.39 : 805.43 = 511.89 : x
  2. Step 2: Convert to fraction form
    585.39/805.43 = 511.89/x
  3. Step 3: Cross multiply
    585.39x = 805.43 × 511.89
  4. Step 4: Simplify right side
    585.39x = 412,289.00
  5. Step 5: Solve for x
    x = 412,289.00/585.39
  6. Step 6: Final answer
    x = 704.30

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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.