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Finding the Fourth Proportional to 904.14, 1,247.71 and 505.80

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Solution

The fourth proportional to 904.14, 1,247.71 and 505.80 is: 698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.14 : 1,247.71 = 505.80 : x
  2. Step 2: Convert to fraction form
    904.14/1,247.71 = 505.80/x
  3. Step 3: Cross multiply
    904.14x = 1,247.71 × 505.80
  4. Step 4: Simplify right side
    904.14x = 631,100.03
  5. Step 5: Solve for x
    x = 631,100.03/904.14
  6. Step 6: Final answer
    x = 698.02

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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.