Home / 1,421.43-2,132.16-497.01

Finding the Fourth Proportional to 1,421.43, 2,132.16 and 497.01

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Solution

The fourth proportional to 1,421.43, 2,132.16 and 497.01 is: 745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.43 : 2,132.16 = 497.01 : x
  2. Step 2: Convert to fraction form
    1,421.43/2,132.16 = 497.01/x
  3. Step 3: Cross multiply
    1,421.43x = 2,132.16 × 497.01
  4. Step 4: Simplify right side
    1,421.43x = 1,059,704.84
  5. Step 5: Solve for x
    x = 1,059,704.84/1,421.43
  6. Step 6: Final answer
    x = 745.52

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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.