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Finding the Fourth Proportional to 717.41, 990.03 and 468.58

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Solution

The fourth proportional to 717.41, 990.03 and 468.58 is: 646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.41 : 990.03 = 468.58 : x
  2. Step 2: Convert to fraction form
    717.41/990.03 = 468.58/x
  3. Step 3: Cross multiply
    717.41x = 990.03 × 468.58
  4. Step 4: Simplify right side
    717.41x = 463,900.96
  5. Step 5: Solve for x
    x = 463,900.96/717.41
  6. Step 6: Final answer
    x = 646.64

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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.