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Finding the Fourth Proportional to 1,275.45, 1,909.53 and 835.26

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Solution

The fourth proportional to 1,275.45, 1,909.53 and 835.26 is: 1,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.45 : 1,909.53 = 835.26 : x
  2. Step 2: Convert to fraction form
    1,275.45/1,909.53 = 835.26/x
  3. Step 3: Cross multiply
    1,275.45x = 1,909.53 × 835.26
  4. Step 4: Simplify right side
    1,275.45x = 1,594,954.03
  5. Step 5: Solve for x
    x = 1,594,954.03/1,275.45
  6. Step 6: Final answer
    x = 1,250.50

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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.