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Finding the Fourth Proportional to 1,164.32, 1,748.04 and 1,152.08

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Solution

The fourth proportional to 1,164.32, 1,748.04 and 1,152.08 is: 1,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.32 : 1,748.04 = 1,152.08 : x
  2. Step 2: Convert to fraction form
    1,164.32/1,748.04 = 1,152.08/x
  3. Step 3: Cross multiply
    1,164.32x = 1,748.04 × 1,152.08
  4. Step 4: Simplify right side
    1,164.32x = 2,013,873.18
  5. Step 5: Solve for x
    x = 2,013,873.18/1,164.32
  6. Step 6: Final answer
    x = 1,729.66

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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.