Home / 1,541.89-2,312.85-387.64

Finding the Fourth Proportional to 1,541.89, 2,312.85 and 387.64

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Solution

The fourth proportional to 1,541.89, 2,312.85 and 387.64 is: 581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.89 : 2,312.85 = 387.64 : x
  2. Step 2: Convert to fraction form
    1,541.89/2,312.85 = 387.64/x
  3. Step 3: Cross multiply
    1,541.89x = 2,312.85 × 387.64
  4. Step 4: Simplify right side
    1,541.89x = 896,553.17
  5. Step 5: Solve for x
    x = 896,553.17/1,541.89
  6. Step 6: Final answer
    x = 581.46

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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.