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Finding the Fourth Proportional to 904.06, 1,247.76 and 572.38

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Solution

The fourth proportional to 904.06, 1,247.76 and 572.38 is: 789.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.06 : 1,247.76 = 572.38 : x
  2. Step 2: Convert to fraction form
    904.06/1,247.76 = 572.38/x
  3. Step 3: Cross multiply
    904.06x = 1,247.76 × 572.38
  4. Step 4: Simplify right side
    904.06x = 714,192.87
  5. Step 5: Solve for x
    x = 714,192.87/904.06
  6. Step 6: Final answer
    x = 789.98

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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.