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Finding the Fourth Proportional to 583.85, 805.28 and 387.02

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Solution

The fourth proportional to 583.85, 805.28 and 387.02 is: 533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.85 : 805.28 = 387.02 : x
  2. Step 2: Convert to fraction form
    583.85/805.28 = 387.02/x
  3. Step 3: Cross multiply
    583.85x = 805.28 × 387.02
  4. Step 4: Simplify right side
    583.85x = 311,659.54
  5. Step 5: Solve for x
    x = 311,659.54/583.85
  6. Step 6: Final answer
    x = 533.80

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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.