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Finding the Fourth Proportional to 1,690.98, 2,536.86 and 565.33

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Solution

The fourth proportional to 1,690.98, 2,536.86 and 565.33 is: 848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.98 : 2,536.86 = 565.33 : x
  2. Step 2: Convert to fraction form
    1,690.98/2,536.86 = 565.33/x
  3. Step 3: Cross multiply
    1,690.98x = 2,536.86 × 565.33
  4. Step 4: Simplify right side
    1,690.98x = 1,434,160.24
  5. Step 5: Solve for x
    x = 1,434,160.24/1,690.98
  6. Step 6: Final answer
    x = 848.12

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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.