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Finding the Fourth Proportional to 1,697.70, 2,336.80 and 1,254.83

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Solution

The fourth proportional to 1,697.70, 2,336.80 and 1,254.83 is: 1,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.70 : 2,336.80 = 1,254.83 : x
  2. Step 2: Convert to fraction form
    1,697.70/2,336.80 = 1,254.83/x
  3. Step 3: Cross multiply
    1,697.70x = 2,336.80 × 1,254.83
  4. Step 4: Simplify right side
    1,697.70x = 2,932,280.47
  5. Step 5: Solve for x
    x = 2,932,280.47/1,697.70
  6. Step 6: Final answer
    x = 1,727.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.