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Finding the Fourth Proportional to 2,208.40, 3,312.48 and 564.98

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Solution

The fourth proportional to 2,208.40, 3,312.48 and 564.98 is: 847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.40 : 3,312.48 = 564.98 : x
  2. Step 2: Convert to fraction form
    2,208.40/3,312.48 = 564.98/x
  3. Step 3: Cross multiply
    2,208.40x = 3,312.48 × 564.98
  4. Step 4: Simplify right side
    2,208.40x = 1,871,484.95
  5. Step 5: Solve for x
    x = 1,871,484.95/2,208.40
  6. Step 6: Final answer
    x = 847.44

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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.