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Finding the Fourth Proportional to 1,703.40, 2,350.80 and 1,115.52

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Solution

The fourth proportional to 1,703.40, 2,350.80 and 1,115.52 is: 1,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.40 : 2,350.80 = 1,115.52 : x
  2. Step 2: Convert to fraction form
    1,703.40/2,350.80 = 1,115.52/x
  3. Step 3: Cross multiply
    1,703.40x = 2,350.80 × 1,115.52
  4. Step 4: Simplify right side
    1,703.40x = 2,622,364.42
  5. Step 5: Solve for x
    x = 2,622,364.42/1,703.40
  6. Step 6: Final answer
    x = 1,539.49

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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.