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Finding the Fourth Proportional to 903.82, 1,353.28 and 470.06

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Solution

The fourth proportional to 903.82, 1,353.28 and 470.06 is: 703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.82 : 1,353.28 = 470.06 : x
  2. Step 2: Convert to fraction form
    903.82/1,353.28 = 470.06/x
  3. Step 3: Cross multiply
    903.82x = 1,353.28 × 470.06
  4. Step 4: Simplify right side
    903.82x = 636,122.80
  5. Step 5: Solve for x
    x = 636,122.80/903.82
  6. Step 6: Final answer
    x = 703.82

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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.