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Finding the Fourth Proportional to 903.18, 1,352.66 and 696.10

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Solution

The fourth proportional to 903.18, 1,352.66 and 696.10 is: 1,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.18 : 1,352.66 = 696.10 : x
  2. Step 2: Convert to fraction form
    903.18/1,352.66 = 696.10/x
  3. Step 3: Cross multiply
    903.18x = 1,352.66 × 696.10
  4. Step 4: Simplify right side
    903.18x = 941,586.63
  5. Step 5: Solve for x
    x = 941,586.63/903.18
  6. Step 6: Final answer
    x = 1,042.52

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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.