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Finding the Fourth Proportional to 904.25, 1,247.40 and 572.11

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Solution

The fourth proportional to 904.25, 1,247.40 and 572.11 is: 789.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.25 : 1,247.40 = 572.11 : x
  2. Step 2: Convert to fraction form
    904.25/1,247.40 = 572.11/x
  3. Step 3: Cross multiply
    904.25x = 1,247.40 × 572.11
  4. Step 4: Simplify right side
    904.25x = 713,646.90
  5. Step 5: Solve for x
    x = 713,646.90/904.25
  6. Step 6: Final answer
    x = 789.21

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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.