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Finding the Fourth Proportional to 665.76, 919.08 and 646.32

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Solution

The fourth proportional to 665.76, 919.08 and 646.32 is: 892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.76 : 919.08 = 646.32 : x
  2. Step 2: Convert to fraction form
    665.76/919.08 = 646.32/x
  3. Step 3: Cross multiply
    665.76x = 919.08 × 646.32
  4. Step 4: Simplify right side
    665.76x = 594,019.79
  5. Step 5: Solve for x
    x = 594,019.79/665.76
  6. Step 6: Final answer
    x = 892.24

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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.