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Finding the Fourth Proportional to 804.02, 1,204.40 and 561.02

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Solution

The fourth proportional to 804.02, 1,204.40 and 561.02 is: 840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.02 : 1,204.40 = 561.02 : x
  2. Step 2: Convert to fraction form
    804.02/1,204.40 = 561.02/x
  3. Step 3: Cross multiply
    804.02x = 1,204.40 × 561.02
  4. Step 4: Simplify right side
    804.02x = 675,692.49
  5. Step 5: Solve for x
    x = 675,692.49/804.02
  6. Step 6: Final answer
    x = 840.39

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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.