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Finding the Fourth Proportional to 1,103.13, 1,653.55 and 372.46

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Solution

The fourth proportional to 1,103.13, 1,653.55 and 372.46 is: 558.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.13 : 1,653.55 = 372.46 : x
  2. Step 2: Convert to fraction form
    1,103.13/1,653.55 = 372.46/x
  3. Step 3: Cross multiply
    1,103.13x = 1,653.55 × 372.46
  4. Step 4: Simplify right side
    1,103.13x = 615,881.23
  5. Step 5: Solve for x
    x = 615,881.23/1,103.13
  6. Step 6: Final answer
    x = 558.30

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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.