Home / 1,465.25-2,197.14-491.01

Finding the Fourth Proportional to 1,465.25, 2,197.14 and 491.01

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Solution

The fourth proportional to 1,465.25, 2,197.14 and 491.01 is: 736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.25 : 2,197.14 = 491.01 : x
  2. Step 2: Convert to fraction form
    1,465.25/2,197.14 = 491.01/x
  3. Step 3: Cross multiply
    1,465.25x = 2,197.14 × 491.01
  4. Step 4: Simplify right side
    1,465.25x = 1,078,817.71
  5. Step 5: Solve for x
    x = 1,078,817.71/1,465.25
  6. Step 6: Final answer
    x = 736.27

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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.