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Finding the Fourth Proportional to 692.85, 957.12 and 614.28

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Solution

The fourth proportional to 692.85, 957.12 and 614.28 is: 848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.85 : 957.12 = 614.28 : x
  2. Step 2: Convert to fraction form
    692.85/957.12 = 614.28/x
  3. Step 3: Cross multiply
    692.85x = 957.12 × 614.28
  4. Step 4: Simplify right side
    692.85x = 587,939.67
  5. Step 5: Solve for x
    x = 587,939.67/692.85
  6. Step 6: Final answer
    x = 848.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.