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Finding the Fourth Proportional to 938.17, 1,405.63 and 904.15

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Solution

The fourth proportional to 938.17, 1,405.63 and 904.15 is: 1,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.17 : 1,405.63 = 904.15 : x
  2. Step 2: Convert to fraction form
    938.17/1,405.63 = 904.15/x
  3. Step 3: Cross multiply
    938.17x = 1,405.63 × 904.15
  4. Step 4: Simplify right side
    938.17x = 1,270,900.36
  5. Step 5: Solve for x
    x = 1,270,900.36/938.17
  6. Step 6: Final answer
    x = 1,354.66

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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.