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Finding the Fourth Proportional to 1,234.10, 1,705.30 and 920.64

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Solution

The fourth proportional to 1,234.10, 1,705.30 and 920.64 is: 1,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.10 : 1,705.30 = 920.64 : x
  2. Step 2: Convert to fraction form
    1,234.10/1,705.30 = 920.64/x
  3. Step 3: Cross multiply
    1,234.10x = 1,705.30 × 920.64
  4. Step 4: Simplify right side
    1,234.10x = 1,569,967.39
  5. Step 5: Solve for x
    x = 1,569,967.39/1,234.10
  6. Step 6: Final answer
    x = 1,272.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.