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Finding the Fourth Proportional to 919.41, 1,370.87 and 903.01

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Solution

The fourth proportional to 919.41, 1,370.87 and 903.01 is: 1,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.41 : 1,370.87 = 903.01 : x
  2. Step 2: Convert to fraction form
    919.41/1,370.87 = 903.01/x
  3. Step 3: Cross multiply
    919.41x = 1,370.87 × 903.01
  4. Step 4: Simplify right side
    919.41x = 1,237,897.95
  5. Step 5: Solve for x
    x = 1,237,897.95/919.41
  6. Step 6: Final answer
    x = 1,346.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.