Home / 1,541.94-2,312.84-446.28

Finding the Fourth Proportional to 1,541.94, 2,312.84 and 446.28

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Solution

The fourth proportional to 1,541.94, 2,312.84 and 446.28 is: 669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.94 : 2,312.84 = 446.28 : x
  2. Step 2: Convert to fraction form
    1,541.94/2,312.84 = 446.28/x
  3. Step 3: Cross multiply
    1,541.94x = 2,312.84 × 446.28
  4. Step 4: Simplify right side
    1,541.94x = 1,032,174.24
  5. Step 5: Solve for x
    x = 1,032,174.24/1,541.94
  6. Step 6: Final answer
    x = 669.40

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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.