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Finding the Fourth Proportional to 936.02, 1,403.65 and 474.06

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Solution

The fourth proportional to 936.02, 1,403.65 and 474.06 is: 710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.02 : 1,403.65 = 474.06 : x
  2. Step 2: Convert to fraction form
    936.02/1,403.65 = 474.06/x
  3. Step 3: Cross multiply
    936.02x = 1,403.65 × 474.06
  4. Step 4: Simplify right side
    936.02x = 665,414.32
  5. Step 5: Solve for x
    x = 665,414.32/936.02
  6. Step 6: Final answer
    x = 710.90

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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.