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Finding the Fourth Proportional to 664.19, 915.77 and 574.30

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Solution

The fourth proportional to 664.19, 915.77 and 574.30 is: 791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.19 : 915.77 = 574.30 : x
  2. Step 2: Convert to fraction form
    664.19/915.77 = 574.30/x
  3. Step 3: Cross multiply
    664.19x = 915.77 × 574.30
  4. Step 4: Simplify right side
    664.19x = 525,926.71
  5. Step 5: Solve for x
    x = 525,926.71/664.19
  6. Step 6: Final answer
    x = 791.83

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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.