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Finding the Fourth Proportional to 704.59, 1,056.44 and 431.21

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Solution

The fourth proportional to 704.59, 1,056.44 and 431.21 is: 646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.59 : 1,056.44 = 431.21 : x
  2. Step 2: Convert to fraction form
    704.59/1,056.44 = 431.21/x
  3. Step 3: Cross multiply
    704.59x = 1,056.44 × 431.21
  4. Step 4: Simplify right side
    704.59x = 455,551.21
  5. Step 5: Solve for x
    x = 455,551.21/704.59
  6. Step 6: Final answer
    x = 646.55

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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.