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Finding the Fourth Proportional to 704.17, 1,056.37 and 397.99

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Solution

The fourth proportional to 704.17, 1,056.37 and 397.99 is: 597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.17 : 1,056.37 = 397.99 : x
  2. Step 2: Convert to fraction form
    704.17/1,056.37 = 397.99/x
  3. Step 3: Cross multiply
    704.17x = 1,056.37 × 397.99
  4. Step 4: Simplify right side
    704.17x = 420,421.68
  5. Step 5: Solve for x
    x = 420,421.68/704.17
  6. Step 6: Final answer
    x = 597.05

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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.