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Finding the Fourth Proportional to 1,101.36, 1,653 and 588.72

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Solution

The fourth proportional to 1,101.36, 1,653 and 588.72 is: 883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.36 : 1,653 = 588.72 : x
  2. Step 2: Convert to fraction form
    1,101.36/1,653 = 588.72/x
  3. Step 3: Cross multiply
    1,101.36x = 1,653 × 588.72
  4. Step 4: Simplify right side
    1,101.36x = 973,154.16
  5. Step 5: Solve for x
    x = 973,154.16/1,101.36
  6. Step 6: Final answer
    x = 883.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.