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Finding the Fourth Proportional to 1,225.10, 1,837.65 and 739.10

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Solution

The fourth proportional to 1,225.10, 1,837.65 and 739.10 is: 1,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.10 : 1,837.65 = 739.10 : x
  2. Step 2: Convert to fraction form
    1,225.10/1,837.65 = 739.10/x
  3. Step 3: Cross multiply
    1,225.10x = 1,837.65 × 739.10
  4. Step 4: Simplify right side
    1,225.10x = 1,358,207.12
  5. Step 5: Solve for x
    x = 1,358,207.12/1,225.10
  6. Step 6: Final answer
    x = 1,108.65

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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.