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Finding the Fourth Proportional to 664.67, 915.77 and 454.77

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Solution

The fourth proportional to 664.67, 915.77 and 454.77 is: 626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.67 : 915.77 = 454.77 : x
  2. Step 2: Convert to fraction form
    664.67/915.77 = 454.77/x
  3. Step 3: Cross multiply
    664.67x = 915.77 × 454.77
  4. Step 4: Simplify right side
    664.67x = 416,465.86
  5. Step 5: Solve for x
    x = 416,465.86/664.67
  6. Step 6: Final answer
    x = 626.57

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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.