Home / 1,604.83-2,214.45-975.49

Finding the Fourth Proportional to 1,604.83, 2,214.45 and 975.49

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Solution

The fourth proportional to 1,604.83, 2,214.45 and 975.49 is: 1,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.83 : 2,214.45 = 975.49 : x
  2. Step 2: Convert to fraction form
    1,604.83/2,214.45 = 975.49/x
  3. Step 3: Cross multiply
    1,604.83x = 2,214.45 × 975.49
  4. Step 4: Simplify right side
    1,604.83x = 2,160,173.83
  5. Step 5: Solve for x
    x = 2,160,173.83/1,604.83
  6. Step 6: Final answer
    x = 1,346.05

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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.