Home / 1,542.08-2,312.77-446.20

Finding the Fourth Proportional to 1,542.08, 2,312.77 and 446.20

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Solution

The fourth proportional to 1,542.08, 2,312.77 and 446.20 is: 669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.08 : 2,312.77 = 446.20 : x
  2. Step 2: Convert to fraction form
    1,542.08/2,312.77 = 446.20/x
  3. Step 3: Cross multiply
    1,542.08x = 2,312.77 × 446.20
  4. Step 4: Simplify right side
    1,542.08x = 1,031,957.97
  5. Step 5: Solve for x
    x = 1,031,957.97/1,542.08
  6. Step 6: Final answer
    x = 669.20

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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.