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Finding the Fourth Proportional to 904.72, 1,354.20 and 842.80

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Solution

The fourth proportional to 904.72, 1,354.20 and 842.80 is: 1,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.72 : 1,354.20 = 842.80 : x
  2. Step 2: Convert to fraction form
    904.72/1,354.20 = 842.80/x
  3. Step 3: Cross multiply
    904.72x = 1,354.20 × 842.80
  4. Step 4: Simplify right side
    904.72x = 1,141,319.76
  5. Step 5: Solve for x
    x = 1,141,319.76/904.72
  6. Step 6: Final answer
    x = 1,261.52

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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.