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Finding the Fourth Proportional to 1,170.12, 1,754.28 and 476.64

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Solution

The fourth proportional to 1,170.12, 1,754.28 and 476.64 is: 714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.12 : 1,754.28 = 476.64 : x
  2. Step 2: Convert to fraction form
    1,170.12/1,754.28 = 476.64/x
  3. Step 3: Cross multiply
    1,170.12x = 1,754.28 × 476.64
  4. Step 4: Simplify right side
    1,170.12x = 836,160.02
  5. Step 5: Solve for x
    x = 836,160.02/1,170.12
  6. Step 6: Final answer
    x = 714.59

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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.