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Finding the Fourth Proportional to 1,043.11, 1,564.45 and 312.49

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Solution

The fourth proportional to 1,043.11, 1,564.45 and 312.49 is: 468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.11 : 1,564.45 = 312.49 : x
  2. Step 2: Convert to fraction form
    1,043.11/1,564.45 = 312.49/x
  3. Step 3: Cross multiply
    1,043.11x = 1,564.45 × 312.49
  4. Step 4: Simplify right side
    1,043.11x = 488,876.15
  5. Step 5: Solve for x
    x = 488,876.15/1,043.11
  6. Step 6: Final answer
    x = 468.67

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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.