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Finding the Fourth Proportional to 1,216.40, 1,678.64 and 692.46

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Solution

The fourth proportional to 1,216.40, 1,678.64 and 692.46 is: 955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.40 : 1,678.64 = 692.46 : x
  2. Step 2: Convert to fraction form
    1,216.40/1,678.64 = 692.46/x
  3. Step 3: Cross multiply
    1,216.40x = 1,678.64 × 692.46
  4. Step 4: Simplify right side
    1,216.40x = 1,162,391.05
  5. Step 5: Solve for x
    x = 1,162,391.05/1,216.40
  6. Step 6: Final answer
    x = 955.60

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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.