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Finding the Fourth Proportional to 1,052.49, 1,451.61 and 653.93

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Solution

The fourth proportional to 1,052.49, 1,451.61 and 653.93 is: 901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.49 : 1,451.61 = 653.93 : x
  2. Step 2: Convert to fraction form
    1,052.49/1,451.61 = 653.93/x
  3. Step 3: Cross multiply
    1,052.49x = 1,451.61 × 653.93
  4. Step 4: Simplify right side
    1,052.49x = 949,251.33
  5. Step 5: Solve for x
    x = 949,251.33/1,052.49
  6. Step 6: Final answer
    x = 901.91

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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.