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Finding the Fourth Proportional to 1,041.80, 1,563.48 and 384.30

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Solution

The fourth proportional to 1,041.80, 1,563.48 and 384.30 is: 576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.80 : 1,563.48 = 384.30 : x
  2. Step 2: Convert to fraction form
    1,041.80/1,563.48 = 384.30/x
  3. Step 3: Cross multiply
    1,041.80x = 1,563.48 × 384.30
  4. Step 4: Simplify right side
    1,041.80x = 600,845.36
  5. Step 5: Solve for x
    x = 600,845.36/1,041.80
  6. Step 6: Final answer
    x = 576.74

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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.