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Finding the Fourth Proportional to 696.06, 1,042.48 and 348.32

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Solution

The fourth proportional to 696.06, 1,042.48 and 348.32 is: 521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.06 : 1,042.48 = 348.32 : x
  2. Step 2: Convert to fraction form
    696.06/1,042.48 = 348.32/x
  3. Step 3: Cross multiply
    696.06x = 1,042.48 × 348.32
  4. Step 4: Simplify right side
    696.06x = 363,116.63
  5. Step 5: Solve for x
    x = 363,116.63/696.06
  6. Step 6: Final answer
    x = 521.67

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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.