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Finding the Fourth Proportional to 1,041.61, 1,562.03 and 310.94

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Solution

The fourth proportional to 1,041.61, 1,562.03 and 310.94 is: 466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.61 : 1,562.03 = 310.94 : x
  2. Step 2: Convert to fraction form
    1,041.61/1,562.03 = 310.94/x
  3. Step 3: Cross multiply
    1,041.61x = 1,562.03 × 310.94
  4. Step 4: Simplify right side
    1,041.61x = 485,688.24
  5. Step 5: Solve for x
    x = 485,688.24/1,041.61
  6. Step 6: Final answer
    x = 466.29

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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.