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Finding the Fourth Proportional to 1,633.40, 2,254.80 and 970.46

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Solution

The fourth proportional to 1,633.40, 2,254.80 and 970.46 is: 1,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.40 : 2,254.80 = 970.46 : x
  2. Step 2: Convert to fraction form
    1,633.40/2,254.80 = 970.46/x
  3. Step 3: Cross multiply
    1,633.40x = 2,254.80 × 970.46
  4. Step 4: Simplify right side
    1,633.40x = 2,188,181.93
  5. Step 5: Solve for x
    x = 2,188,181.93/1,633.40
  6. Step 6: Final answer
    x = 1,339.65

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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.