Home / 1,077.50-1,616.08-384.11

Finding the Fourth Proportional to 1,077.50, 1,616.08 and 384.11

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Solution

The fourth proportional to 1,077.50, 1,616.08 and 384.11 is: 576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.50 : 1,616.08 = 384.11 : x
  2. Step 2: Convert to fraction form
    1,077.50/1,616.08 = 384.11/x
  3. Step 3: Cross multiply
    1,077.50x = 1,616.08 × 384.11
  4. Step 4: Simplify right side
    1,077.50x = 620,752.49
  5. Step 5: Solve for x
    x = 620,752.49/1,077.50
  6. Step 6: Final answer
    x = 576.10

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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.