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Finding the Fourth Proportional to 1,224.66, 1,837.30 and 347.16

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Solution

The fourth proportional to 1,224.66, 1,837.30 and 347.16 is: 520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.66 : 1,837.30 = 347.16 : x
  2. Step 2: Convert to fraction form
    1,224.66/1,837.30 = 347.16/x
  3. Step 3: Cross multiply
    1,224.66x = 1,837.30 × 347.16
  4. Step 4: Simplify right side
    1,224.66x = 637,837.07
  5. Step 5: Solve for x
    x = 637,837.07/1,224.66
  6. Step 6: Final answer
    x = 520.83

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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.