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Finding the Fourth Proportional to 1,428.34, 1,971.40 and 904

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Solution

The fourth proportional to 1,428.34, 1,971.40 and 904 is: 1,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.34 : 1,971.40 = 904 : x
  2. Step 2: Convert to fraction form
    1,428.34/1,971.40 = 904/x
  3. Step 3: Cross multiply
    1,428.34x = 1,971.40 × 904
  4. Step 4: Simplify right side
    1,428.34x = 1,782,145.60
  5. Step 5: Solve for x
    x = 1,782,145.60/1,428.34
  6. Step 6: Final answer
    x = 1,247.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.