Home / 1,542.23-2,312.79-446.30

Finding the Fourth Proportional to 1,542.23, 2,312.79 and 446.30

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Solution

The fourth proportional to 1,542.23, 2,312.79 and 446.30 is: 669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.23 : 2,312.79 = 446.30 : x
  2. Step 2: Convert to fraction form
    1,542.23/2,312.79 = 446.30/x
  3. Step 3: Cross multiply
    1,542.23x = 2,312.79 × 446.30
  4. Step 4: Simplify right side
    1,542.23x = 1,032,186.61
  5. Step 5: Solve for x
    x = 1,032,186.61/1,542.23
  6. Step 6: Final answer
    x = 669.28

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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.