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Finding the Fourth Proportional to 1,216.15, 1,678.29 and 692.21

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Solution

The fourth proportional to 1,216.15, 1,678.29 and 692.21 is: 955.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.15 : 1,678.29 = 692.21 : x
  2. Step 2: Convert to fraction form
    1,216.15/1,678.29 = 692.21/x
  3. Step 3: Cross multiply
    1,216.15x = 1,678.29 × 692.21
  4. Step 4: Simplify right side
    1,216.15x = 1,161,729.12
  5. Step 5: Solve for x
    x = 1,161,729.12/1,216.15
  6. Step 6: Final answer
    x = 955.25

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1.5x scale

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.