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Finding the Fourth Proportional to 612.97, 915.66 and 491.47

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Solution

The fourth proportional to 612.97, 915.66 and 491.47 is: 734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.97 : 915.66 = 491.47 : x
  2. Step 2: Convert to fraction form
    612.97/915.66 = 491.47/x
  3. Step 3: Cross multiply
    612.97x = 915.66 × 491.47
  4. Step 4: Simplify right side
    612.97x = 450,014.84
  5. Step 5: Solve for x
    x = 450,014.84/612.97
  6. Step 6: Final answer
    x = 734.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.