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Finding the Fourth Proportional to 1,690.77, 2,535.77 and 765.71

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Solution

The fourth proportional to 1,690.77, 2,535.77 and 765.71 is: 1,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.77 : 2,535.77 = 765.71 : x
  2. Step 2: Convert to fraction form
    1,690.77/2,535.77 = 765.71/x
  3. Step 3: Cross multiply
    1,690.77x = 2,535.77 × 765.71
  4. Step 4: Simplify right side
    1,690.77x = 1,941,664.45
  5. Step 5: Solve for x
    x = 1,941,664.45/1,690.77
  6. Step 6: Final answer
    x = 1,148.39

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1.5x scale

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.