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Finding the Fourth Proportional to 583.52, 805.02 and 428

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Solution

The fourth proportional to 583.52, 805.02 and 428 is: 590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.52 : 805.02 = 428 : x
  2. Step 2: Convert to fraction form
    583.52/805.02 = 428/x
  3. Step 3: Cross multiply
    583.52x = 805.02 × 428
  4. Step 4: Simplify right side
    583.52x = 344,548.56
  5. Step 5: Solve for x
    x = 344,548.56/583.52
  6. Step 6: Final answer
    x = 590.47

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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.