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Finding the Fourth Proportional to 617.94, 928.71 and 589.14

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Solution

The fourth proportional to 617.94, 928.71 and 589.14 is: 885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.94 : 928.71 = 589.14 : x
  2. Step 2: Convert to fraction form
    617.94/928.71 = 589.14/x
  3. Step 3: Cross multiply
    617.94x = 928.71 × 589.14
  4. Step 4: Simplify right side
    617.94x = 547,140.21
  5. Step 5: Solve for x
    x = 547,140.21/617.94
  6. Step 6: Final answer
    x = 885.43

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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.