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Finding the Fourth Proportional to 1,633.67, 2,254.73 and 970.55

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Solution

The fourth proportional to 1,633.67, 2,254.73 and 970.55 is: 1,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.67 : 2,254.73 = 970.55 : x
  2. Step 2: Convert to fraction form
    1,633.67/2,254.73 = 970.55/x
  3. Step 3: Cross multiply
    1,633.67x = 2,254.73 × 970.55
  4. Step 4: Simplify right side
    1,633.67x = 2,188,312.08
  5. Step 5: Solve for x
    x = 2,188,312.08/1,633.67
  6. Step 6: Final answer
    x = 1,339.51

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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.