Home / 1,197.30-1,795.62-417.12

Finding the Fourth Proportional to 1,197.30, 1,795.62 and 417.12

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Solution

The fourth proportional to 1,197.30, 1,795.62 and 417.12 is: 625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.30 : 1,795.62 = 417.12 : x
  2. Step 2: Convert to fraction form
    1,197.30/1,795.62 = 417.12/x
  3. Step 3: Cross multiply
    1,197.30x = 1,795.62 × 417.12
  4. Step 4: Simplify right side
    1,197.30x = 748,989.01
  5. Step 5: Solve for x
    x = 748,989.01/1,197.30
  6. Step 6: Final answer
    x = 625.57

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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.