Home / 1,465.22-2,197.40-587.72

Finding the Fourth Proportional to 1,465.22, 2,197.40 and 587.72

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Solution

The fourth proportional to 1,465.22, 2,197.40 and 587.72 is: 881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.22 : 2,197.40 = 587.72 : x
  2. Step 2: Convert to fraction form
    1,465.22/2,197.40 = 587.72/x
  3. Step 3: Cross multiply
    1,465.22x = 2,197.40 × 587.72
  4. Step 4: Simplify right side
    1,465.22x = 1,291,455.93
  5. Step 5: Solve for x
    x = 1,291,455.93/1,465.22
  6. Step 6: Final answer
    x = 881.41

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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.