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Finding the Fourth Proportional to 1,118.93, 1,678.96 and 461.31

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Solution

The fourth proportional to 1,118.93, 1,678.96 and 461.31 is: 692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.93 : 1,678.96 = 461.31 : x
  2. Step 2: Convert to fraction form
    1,118.93/1,678.96 = 461.31/x
  3. Step 3: Cross multiply
    1,118.93x = 1,678.96 × 461.31
  4. Step 4: Simplify right side
    1,118.93x = 774,515.32
  5. Step 5: Solve for x
    x = 774,515.32/1,118.93
  6. Step 6: Final answer
    x = 692.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.