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Finding the Fourth Proportional to 1,588.78, 2,192.52 and 880.66

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Solution

The fourth proportional to 1,588.78, 2,192.52 and 880.66 is: 1,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.78 : 2,192.52 = 880.66 : x
  2. Step 2: Convert to fraction form
    1,588.78/2,192.52 = 880.66/x
  3. Step 3: Cross multiply
    1,588.78x = 2,192.52 × 880.66
  4. Step 4: Simplify right side
    1,588.78x = 1,930,864.66
  5. Step 5: Solve for x
    x = 1,930,864.66/1,588.78
  6. Step 6: Final answer
    x = 1,215.31

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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.