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Finding the Fourth Proportional to 607.77, 915.17 and 446.58

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Solution

The fourth proportional to 607.77, 915.17 and 446.58 is: 672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.77 : 915.17 = 446.58 : x
  2. Step 2: Convert to fraction form
    607.77/915.17 = 446.58/x
  3. Step 3: Cross multiply
    607.77x = 915.17 × 446.58
  4. Step 4: Simplify right side
    607.77x = 408,694.39
  5. Step 5: Solve for x
    x = 408,694.39/607.77
  6. Step 6: Final answer
    x = 672.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.