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Finding the Fourth Proportional to 1,216.10, 1,678.20 and 692.16

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Solution

The fourth proportional to 1,216.10, 1,678.20 and 692.16 is: 955.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.10 : 1,678.20 = 692.16 : x
  2. Step 2: Convert to fraction form
    1,216.10/1,678.20 = 692.16/x
  3. Step 3: Cross multiply
    1,216.10x = 1,678.20 × 692.16
  4. Step 4: Simplify right side
    1,216.10x = 1,161,582.91
  5. Step 5: Solve for x
    x = 1,161,582.91/1,216.10
  6. Step 6: Final answer
    x = 955.17

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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.