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Finding the Fourth Proportional to 1,052.80, 1,451.40 and 659.56

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Solution

The fourth proportional to 1,052.80, 1,451.40 and 659.56 is: 909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.80 : 1,451.40 = 659.56 : x
  2. Step 2: Convert to fraction form
    1,052.80/1,451.40 = 659.56/x
  3. Step 3: Cross multiply
    1,052.80x = 1,451.40 × 659.56
  4. Step 4: Simplify right side
    1,052.80x = 957,285.38
  5. Step 5: Solve for x
    x = 957,285.38/1,052.80
  6. Step 6: Final answer
    x = 909.28

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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.