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Finding the Fourth Proportional to 1,147.03, 1,716.90 and 904.03

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Solution

The fourth proportional to 1,147.03, 1,716.90 and 904.03 is: 1,353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.03 : 1,716.90 = 904.03 : x
  2. Step 2: Convert to fraction form
    1,147.03/1,716.90 = 904.03/x
  3. Step 3: Cross multiply
    1,147.03x = 1,716.90 × 904.03
  4. Step 4: Simplify right side
    1,147.03x = 1,552,129.11
  5. Step 5: Solve for x
    x = 1,552,129.11/1,147.03
  6. Step 6: Final answer
    x = 1,353.17

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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.