Home / 1,197.13-1,795.69-466.78

Finding the Fourth Proportional to 1,197.13, 1,795.69 and 466.78

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Solution

The fourth proportional to 1,197.13, 1,795.69 and 466.78 is: 700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.13 : 1,795.69 = 466.78 : x
  2. Step 2: Convert to fraction form
    1,197.13/1,795.69 = 466.78/x
  3. Step 3: Cross multiply
    1,197.13x = 1,795.69 × 466.78
  4. Step 4: Simplify right side
    1,197.13x = 838,192.18
  5. Step 5: Solve for x
    x = 838,192.18/1,197.13
  6. Step 6: Final answer
    x = 700.17

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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.