Home / 1,465.31-2,197.35-477.83

Finding the Fourth Proportional to 1,465.31, 2,197.35 and 477.83

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Solution

The fourth proportional to 1,465.31, 2,197.35 and 477.83 is: 716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.31 : 2,197.35 = 477.83 : x
  2. Step 2: Convert to fraction form
    1,465.31/2,197.35 = 477.83/x
  3. Step 3: Cross multiply
    1,465.31x = 2,197.35 × 477.83
  4. Step 4: Simplify right side
    1,465.31x = 1,049,965.24
  5. Step 5: Solve for x
    x = 1,049,965.24/1,465.31
  6. Step 6: Final answer
    x = 716.55

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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.