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Finding the Fourth Proportional to 1,110.67, 1,665.80 and 461.46

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Solution

The fourth proportional to 1,110.67, 1,665.80 and 461.46 is: 692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.67 : 1,665.80 = 461.46 : x
  2. Step 2: Convert to fraction form
    1,110.67/1,665.80 = 461.46/x
  3. Step 3: Cross multiply
    1,110.67x = 1,665.80 × 461.46
  4. Step 4: Simplify right side
    1,110.67x = 768,700.07
  5. Step 5: Solve for x
    x = 768,700.07/1,110.67
  6. Step 6: Final answer
    x = 692.10

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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.