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Finding the Fourth Proportional to 1,042.95, 1,438.96 and 594.82

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Solution

The fourth proportional to 1,042.95, 1,438.96 and 594.82 is: 820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.95 : 1,438.96 = 594.82 : x
  2. Step 2: Convert to fraction form
    1,042.95/1,438.96 = 594.82/x
  3. Step 3: Cross multiply
    1,042.95x = 1,438.96 × 594.82
  4. Step 4: Simplify right side
    1,042.95x = 855,922.19
  5. Step 5: Solve for x
    x = 855,922.19/1,042.95
  6. Step 6: Final answer
    x = 820.67

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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.