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Finding the Fourth Proportional to 704.34, 1,058.58 and 653.42

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Solution

The fourth proportional to 704.34, 1,058.58 and 653.42 is: 982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.34 : 1,058.58 = 653.42 : x
  2. Step 2: Convert to fraction form
    704.34/1,058.58 = 653.42/x
  3. Step 3: Cross multiply
    704.34x = 1,058.58 × 653.42
  4. Step 4: Simplify right side
    704.34x = 691,697.34
  5. Step 5: Solve for x
    x = 691,697.34/704.34
  6. Step 6: Final answer
    x = 982.05

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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.