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Finding the Fourth Proportional to 903.82, 1,352.58 and 626.47

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Solution

The fourth proportional to 903.82, 1,352.58 and 626.47 is: 937.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.82 : 1,352.58 = 626.47 : x
  2. Step 2: Convert to fraction form
    903.82/1,352.58 = 626.47/x
  3. Step 3: Cross multiply
    903.82x = 1,352.58 × 626.47
  4. Step 4: Simplify right side
    903.82x = 847,350.79
  5. Step 5: Solve for x
    x = 847,350.79/903.82
  6. Step 6: Final answer
    x = 937.52

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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.