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Finding the Fourth Proportional to 583.07, 805.38 and 513.35

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Solution

The fourth proportional to 583.07, 805.38 and 513.35 is: 709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.07 : 805.38 = 513.35 : x
  2. Step 2: Convert to fraction form
    583.07/805.38 = 513.35/x
  3. Step 3: Cross multiply
    583.07x = 805.38 × 513.35
  4. Step 4: Simplify right side
    583.07x = 413,443.42
  5. Step 5: Solve for x
    x = 413,443.42/583.07
  6. Step 6: Final answer
    x = 709.09

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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.