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Finding the Fourth Proportional to 1,690.72, 2,535.36 and 664

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Solution

The fourth proportional to 1,690.72, 2,535.36 and 664 is: 995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.72 : 2,535.36 = 664 : x
  2. Step 2: Convert to fraction form
    1,690.72/2,535.36 = 664/x
  3. Step 3: Cross multiply
    1,690.72x = 2,535.36 × 664
  4. Step 4: Simplify right side
    1,690.72x = 1,683,479.04
  5. Step 5: Solve for x
    x = 1,683,479.04/1,690.72
  6. Step 6: Final answer
    x = 995.72

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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.