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Finding the Fourth Proportional to 704.07, 1,056.06 and 287.78

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Solution

The fourth proportional to 704.07, 1,056.06 and 287.78 is: 431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.07 : 1,056.06 = 287.78 : x
  2. Step 2: Convert to fraction form
    704.07/1,056.06 = 287.78/x
  3. Step 3: Cross multiply
    704.07x = 1,056.06 × 287.78
  4. Step 4: Simplify right side
    704.07x = 303,907.67
  5. Step 5: Solve for x
    x = 303,907.67/704.07
  6. Step 6: Final answer
    x = 431.64

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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.