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Finding the Fourth Proportional to 665.16, 991.59 and 654.63

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Solution

The fourth proportional to 665.16, 991.59 and 654.63 is: 975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.16 : 991.59 = 654.63 : x
  2. Step 2: Convert to fraction form
    665.16/991.59 = 654.63/x
  3. Step 3: Cross multiply
    665.16x = 991.59 × 654.63
  4. Step 4: Simplify right side
    665.16x = 649,124.56
  5. Step 5: Solve for x
    x = 649,124.56/665.16
  6. Step 6: Final answer
    x = 975.89

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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.