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Finding the Fourth Proportional to 692.90, 1,038.66 and 368.44

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Solution

The fourth proportional to 692.90, 1,038.66 and 368.44 is: 552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.90 : 1,038.66 = 368.44 : x
  2. Step 2: Convert to fraction form
    692.90/1,038.66 = 368.44/x
  3. Step 3: Cross multiply
    692.90x = 1,038.66 × 368.44
  4. Step 4: Simplify right side
    692.90x = 382,683.89
  5. Step 5: Solve for x
    x = 382,683.89/692.90
  6. Step 6: Final answer
    x = 552.29

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