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Finding the Fourth Proportional to 1,042.83, 1,564.50 and 312.41

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Solution

The fourth proportional to 1,042.83, 1,564.50 and 312.41 is: 468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.83 : 1,564.50 = 312.41 : x
  2. Step 2: Convert to fraction form
    1,042.83/1,564.50 = 312.41/x
  3. Step 3: Cross multiply
    1,042.83x = 1,564.50 × 312.41
  4. Step 4: Simplify right side
    1,042.83x = 488,757.62
  5. Step 5: Solve for x
    x = 488,757.62/1,042.83
  6. Step 6: Final answer
    x = 468.68

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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.