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Finding the Fourth Proportional to 904.36, 1,353.30 and 783.04

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Solution

The fourth proportional to 904.36, 1,353.30 and 783.04 is: 1,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.36 : 1,353.30 = 783.04 : x
  2. Step 2: Convert to fraction form
    904.36/1,353.30 = 783.04/x
  3. Step 3: Cross multiply
    904.36x = 1,353.30 × 783.04
  4. Step 4: Simplify right side
    904.36x = 1,059,688.03
  5. Step 5: Solve for x
    x = 1,059,688.03/904.36
  6. Step 6: Final answer
    x = 1,171.75

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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.