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Finding the Fourth Proportional to 1,216.72, 1,678.98 and 692.80

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Solution

The fourth proportional to 1,216.72, 1,678.98 and 692.80 is: 956.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.72 : 1,678.98 = 692.80 : x
  2. Step 2: Convert to fraction form
    1,216.72/1,678.98 = 692.80/x
  3. Step 3: Cross multiply
    1,216.72x = 1,678.98 × 692.80
  4. Step 4: Simplify right side
    1,216.72x = 1,163,197.34
  5. Step 5: Solve for x
    x = 1,163,197.34/1,216.72
  6. Step 6: Final answer
    x = 956.01

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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.