Home / 1,197.09-1,795.50-319.66

Finding the Fourth Proportional to 1,197.09, 1,795.50 and 319.66

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Solution

The fourth proportional to 1,197.09, 1,795.50 and 319.66 is: 479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.09 : 1,795.50 = 319.66 : x
  2. Step 2: Convert to fraction form
    1,197.09/1,795.50 = 319.66/x
  3. Step 3: Cross multiply
    1,197.09x = 1,795.50 × 319.66
  4. Step 4: Simplify right side
    1,197.09x = 573,956.76
  5. Step 5: Solve for x
    x = 573,956.76/1,197.09
  6. Step 6: Final answer
    x = 479.46

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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.