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Finding the Fourth Proportional to 665.09, 915.61 and 577.75

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Solution

The fourth proportional to 665.09, 915.61 and 577.75 is: 795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.09 : 915.61 = 577.75 : x
  2. Step 2: Convert to fraction form
    665.09/915.61 = 577.75/x
  3. Step 3: Cross multiply
    665.09x = 915.61 × 577.75
  4. Step 4: Simplify right side
    665.09x = 528,993.68
  5. Step 5: Solve for x
    x = 528,993.68/665.09
  6. Step 6: Final answer
    x = 795.37

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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.