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Finding the Fourth Proportional to 903.62, 1,353.80 and 470.27

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Solution

The fourth proportional to 903.62, 1,353.80 and 470.27 is: 704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.62 : 1,353.80 = 470.27 : x
  2. Step 2: Convert to fraction form
    903.62/1,353.80 = 470.27/x
  3. Step 3: Cross multiply
    903.62x = 1,353.80 × 470.27
  4. Step 4: Simplify right side
    903.62x = 636,642.41
  5. Step 5: Solve for x
    x = 636,642.41/903.62
  6. Step 6: Final answer
    x = 704.55

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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.