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Finding the Fourth Proportional to 1,155, 1,732.50 and 461.98

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Solution

The fourth proportional to 1,155, 1,732.50 and 461.98 is: 692.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155 : 1,732.50 = 461.98 : x
  2. Step 2: Convert to fraction form
    1,155/1,732.50 = 461.98/x
  3. Step 3: Cross multiply
    1,155x = 1,732.50 × 461.98
  4. Step 4: Simplify right side
    1,155x = 800,376.02
  5. Step 5: Solve for x
    x = 800,376.02/1,155
  6. Step 6: Final answer
    x = 692.97

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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.