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Finding the Fourth Proportional to 664.30, 917.51 and 442.86

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Solution

The fourth proportional to 664.30, 917.51 and 442.86 is: 611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.30 : 917.51 = 442.86 : x
  2. Step 2: Convert to fraction form
    664.30/917.51 = 442.86/x
  3. Step 3: Cross multiply
    664.30x = 917.51 × 442.86
  4. Step 4: Simplify right side
    664.30x = 406,328.48
  5. Step 5: Solve for x
    x = 406,328.48/664.30
  6. Step 6: Final answer
    x = 611.66

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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.