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Finding the Fourth Proportional to 1,154.21, 1,731.74 and 692.31

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Solution

The fourth proportional to 1,154.21, 1,731.74 and 692.31 is: 1,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.21 : 1,731.74 = 692.31 : x
  2. Step 2: Convert to fraction form
    1,154.21/1,731.74 = 692.31/x
  3. Step 3: Cross multiply
    1,154.21x = 1,731.74 × 692.31
  4. Step 4: Simplify right side
    1,154.21x = 1,198,897.46
  5. Step 5: Solve for x
    x = 1,198,897.46/1,154.21
  6. Step 6: Final answer
    x = 1,038.72

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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.