Home / 1,645.04-2,270.28-981.76

Finding the Fourth Proportional to 1,645.04, 2,270.28 and 981.76

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Solution

The fourth proportional to 1,645.04, 2,270.28 and 981.76 is: 1,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.04 : 2,270.28 = 981.76 : x
  2. Step 2: Convert to fraction form
    1,645.04/2,270.28 = 981.76/x
  3. Step 3: Cross multiply
    1,645.04x = 2,270.28 × 981.76
  4. Step 4: Simplify right side
    1,645.04x = 2,228,870.09
  5. Step 5: Solve for x
    x = 2,228,870.09/1,645.04
  6. Step 6: Final answer
    x = 1,354.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.