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Finding the Fourth Proportional to 605.30, 903.83 and 571.07

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Solution

The fourth proportional to 605.30, 903.83 and 571.07 is: 852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.30 : 903.83 = 571.07 : x
  2. Step 2: Convert to fraction form
    605.30/903.83 = 571.07/x
  3. Step 3: Cross multiply
    605.30x = 903.83 × 571.07
  4. Step 4: Simplify right side
    605.30x = 516,150.20
  5. Step 5: Solve for x
    x = 516,150.20/605.30
  6. Step 6: Final answer
    x = 852.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.