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Finding the Fourth Proportional to 583.90, 805.77 and 318.35

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Solution

The fourth proportional to 583.90, 805.77 and 318.35 is: 439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.90 : 805.77 = 318.35 : x
  2. Step 2: Convert to fraction form
    583.90/805.77 = 318.35/x
  3. Step 3: Cross multiply
    583.90x = 805.77 × 318.35
  4. Step 4: Simplify right side
    583.90x = 256,512.85
  5. Step 5: Solve for x
    x = 256,512.85/583.90
  6. Step 6: Final answer
    x = 439.31

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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.