Home / 1,088.97-1,502.28-822.93

Finding the Fourth Proportional to 1,088.97, 1,502.28 and 822.93

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Solution

The fourth proportional to 1,088.97, 1,502.28 and 822.93 is: 1,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.97 : 1,502.28 = 822.93 : x
  2. Step 2: Convert to fraction form
    1,088.97/1,502.28 = 822.93/x
  3. Step 3: Cross multiply
    1,088.97x = 1,502.28 × 822.93
  4. Step 4: Simplify right side
    1,088.97x = 1,236,271.28
  5. Step 5: Solve for x
    x = 1,236,271.28/1,088.97
  6. Step 6: Final answer
    x = 1,135.27

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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.