Home / 1,165.55-1,748.28-288.06

Finding the Fourth Proportional to 1,165.55, 1,748.28 and 288.06

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Solution

The fourth proportional to 1,165.55, 1,748.28 and 288.06 is: 432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.55 : 1,748.28 = 288.06 : x
  2. Step 2: Convert to fraction form
    1,165.55/1,748.28 = 288.06/x
  3. Step 3: Cross multiply
    1,165.55x = 1,748.28 × 288.06
  4. Step 4: Simplify right side
    1,165.55x = 503,609.54
  5. Step 5: Solve for x
    x = 503,609.54/1,165.55
  6. Step 6: Final answer
    x = 432.08

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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.