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Finding the Fourth Proportional to 704.79, 1,058.09 and 589.95

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Solution

The fourth proportional to 704.79, 1,058.09 and 589.95 is: 885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.79 : 1,058.09 = 589.95 : x
  2. Step 2: Convert to fraction form
    704.79/1,058.09 = 589.95/x
  3. Step 3: Cross multiply
    704.79x = 1,058.09 × 589.95
  4. Step 4: Simplify right side
    704.79x = 624,217.25
  5. Step 5: Solve for x
    x = 624,217.25/704.79
  6. Step 6: Final answer
    x = 885.68

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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.