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Finding the Fourth Proportional to 664.75, 990.52 and 592.05

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Solution

The fourth proportional to 664.75, 990.52 and 592.05 is: 882.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.75 : 990.52 = 592.05 : x
  2. Step 2: Convert to fraction form
    664.75/990.52 = 592.05/x
  3. Step 3: Cross multiply
    664.75x = 990.52 × 592.05
  4. Step 4: Simplify right side
    664.75x = 586,437.37
  5. Step 5: Solve for x
    x = 586,437.37/664.75
  6. Step 6: Final answer
    x = 882.19

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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.