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Finding the Fourth Proportional to 1,690.70, 2,535.73 and 458.21

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Solution

The fourth proportional to 1,690.70, 2,535.73 and 458.21 is: 687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.70 : 2,535.73 = 458.21 : x
  2. Step 2: Convert to fraction form
    1,690.70/2,535.73 = 458.21/x
  3. Step 3: Cross multiply
    1,690.70x = 2,535.73 × 458.21
  4. Step 4: Simplify right side
    1,690.70x = 1,161,885.31
  5. Step 5: Solve for x
    x = 1,161,885.31/1,690.70
  6. Step 6: Final answer
    x = 687.22

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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.