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Finding the Fourth Proportional to 734.36, 1,102.95 and 461

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Solution

The fourth proportional to 734.36, 1,102.95 and 461 is: 692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.36 : 1,102.95 = 461 : x
  2. Step 2: Convert to fraction form
    734.36/1,102.95 = 461/x
  3. Step 3: Cross multiply
    734.36x = 1,102.95 × 461
  4. Step 4: Simplify right side
    734.36x = 508,459.95
  5. Step 5: Solve for x
    x = 508,459.95/734.36
  6. Step 6: Final answer
    x = 692.39

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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.