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Finding the Fourth Proportional to 997.68, 1,495.70 and 690.13

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Solution

The fourth proportional to 997.68, 1,495.70 and 690.13 is: 1,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.68 : 1,495.70 = 690.13 : x
  2. Step 2: Convert to fraction form
    997.68/1,495.70 = 690.13/x
  3. Step 3: Cross multiply
    997.68x = 1,495.70 × 690.13
  4. Step 4: Simplify right side
    997.68x = 1,032,216.51
  5. Step 5: Solve for x
    x = 1,032,216.51/997.68
  6. Step 6: Final answer
    x = 1,034.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.