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Finding the Fourth Proportional to 904.07, 1,356.11 and 287.78

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Solution

The fourth proportional to 904.07, 1,356.11 and 287.78 is: 431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.07 : 1,356.11 = 287.78 : x
  2. Step 2: Convert to fraction form
    904.07/1,356.11 = 287.78/x
  3. Step 3: Cross multiply
    904.07x = 1,356.11 × 287.78
  4. Step 4: Simplify right side
    904.07x = 390,259.28
  5. Step 5: Solve for x
    x = 390,259.28/904.07
  6. Step 6: Final answer
    x = 431.67

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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.