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Finding the Fourth Proportional to 658.45, 906.11 and 583.93

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Solution

The fourth proportional to 658.45, 906.11 and 583.93 is: 803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.45 : 906.11 = 583.93 : x
  2. Step 2: Convert to fraction form
    658.45/906.11 = 583.93/x
  3. Step 3: Cross multiply
    658.45x = 906.11 × 583.93
  4. Step 4: Simplify right side
    658.45x = 529,101.89
  5. Step 5: Solve for x
    x = 529,101.89/658.45
  6. Step 6: Final answer
    x = 803.56

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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.