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Finding the Fourth Proportional to 1,690.57, 2,535.65 and 457.90

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Solution

The fourth proportional to 1,690.57, 2,535.65 and 457.90 is: 686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.57 : 2,535.65 = 457.90 : x
  2. Step 2: Convert to fraction form
    1,690.57/2,535.65 = 457.90/x
  3. Step 3: Cross multiply
    1,690.57x = 2,535.65 × 457.90
  4. Step 4: Simplify right side
    1,690.57x = 1,161,074.14
  5. Step 5: Solve for x
    x = 1,161,074.14/1,690.57
  6. Step 6: Final answer
    x = 686.80

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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.