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Finding the Fourth Proportional to 718.25, 990.64 and 497.57

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Solution

The fourth proportional to 718.25, 990.64 and 497.57 is: 686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.25 : 990.64 = 497.57 : x
  2. Step 2: Convert to fraction form
    718.25/990.64 = 497.57/x
  3. Step 3: Cross multiply
    718.25x = 990.64 × 497.57
  4. Step 4: Simplify right side
    718.25x = 492,912.74
  5. Step 5: Solve for x
    x = 492,912.74/718.25
  6. Step 6: Final answer
    x = 686.27

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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.