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Finding the Fourth Proportional to 664.34, 915.18 and 551.84

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Solution

The fourth proportional to 664.34, 915.18 and 551.84 is: 760.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.34 : 915.18 = 551.84 : x
  2. Step 2: Convert to fraction form
    664.34/915.18 = 551.84/x
  3. Step 3: Cross multiply
    664.34x = 915.18 × 551.84
  4. Step 4: Simplify right side
    664.34x = 505,032.93
  5. Step 5: Solve for x
    x = 505,032.93/664.34
  6. Step 6: Final answer
    x = 760.20

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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.