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Finding the Fourth Proportional to 1,154.91, 1,733.72 and 692.90

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Solution

The fourth proportional to 1,154.91, 1,733.72 and 692.90 is: 1,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.91 : 1,733.72 = 692.90 : x
  2. Step 2: Convert to fraction form
    1,154.91/1,733.72 = 692.90/x
  3. Step 3: Cross multiply
    1,154.91x = 1,733.72 × 692.90
  4. Step 4: Simplify right side
    1,154.91x = 1,201,282.45
  5. Step 5: Solve for x
    x = 1,201,282.45/1,154.91
  6. Step 6: Final answer
    x = 1,040.15

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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.