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Finding the Fourth Proportional to 1,041.78, 1,437.66 and 576.03

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Solution

The fourth proportional to 1,041.78, 1,437.66 and 576.03 is: 794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.78 : 1,437.66 = 576.03 : x
  2. Step 2: Convert to fraction form
    1,041.78/1,437.66 = 576.03/x
  3. Step 3: Cross multiply
    1,041.78x = 1,437.66 × 576.03
  4. Step 4: Simplify right side
    1,041.78x = 828,135.29
  5. Step 5: Solve for x
    x = 828,135.29/1,041.78
  6. Step 6: Final answer
    x = 794.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.