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Finding the Fourth Proportional to 1,145.25, 1,709.66 and 970.74

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Solution

The fourth proportional to 1,145.25, 1,709.66 and 970.74 is: 1,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.25 : 1,709.66 = 970.74 : x
  2. Step 2: Convert to fraction form
    1,145.25/1,709.66 = 970.74/x
  3. Step 3: Cross multiply
    1,145.25x = 1,709.66 × 970.74
  4. Step 4: Simplify right side
    1,145.25x = 1,659,637.78
  5. Step 5: Solve for x
    x = 1,659,637.78/1,145.25
  6. Step 6: Final answer
    x = 1,449.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.