Home / 1,542.18-2,312.83-446.25

Finding the Fourth Proportional to 1,542.18, 2,312.83 and 446.25

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Solution

The fourth proportional to 1,542.18, 2,312.83 and 446.25 is: 669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.18 : 2,312.83 = 446.25 : x
  2. Step 2: Convert to fraction form
    1,542.18/2,312.83 = 446.25/x
  3. Step 3: Cross multiply
    1,542.18x = 2,312.83 × 446.25
  4. Step 4: Simplify right side
    1,542.18x = 1,032,100.39
  5. Step 5: Solve for x
    x = 1,032,100.39/1,542.18
  6. Step 6: Final answer
    x = 669.25

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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.