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Finding the Fourth Proportional to 1,145.42, 1,706.07 and 1,121.42

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Solution

The fourth proportional to 1,145.42, 1,706.07 and 1,121.42 is: 1,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.42 : 1,706.07 = 1,121.42 : x
  2. Step 2: Convert to fraction form
    1,145.42/1,706.07 = 1,121.42/x
  3. Step 3: Cross multiply
    1,145.42x = 1,706.07 × 1,121.42
  4. Step 4: Simplify right side
    1,145.42x = 1,913,215.41
  5. Step 5: Solve for x
    x = 1,913,215.41/1,145.42
  6. Step 6: Final answer
    x = 1,670.32

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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.