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Finding the Fourth Proportional to 1,214.12, 1,820.64 and 564.50

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Solution

The fourth proportional to 1,214.12, 1,820.64 and 564.50 is: 846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.12 : 1,820.64 = 564.50 : x
  2. Step 2: Convert to fraction form
    1,214.12/1,820.64 = 564.50/x
  3. Step 3: Cross multiply
    1,214.12x = 1,820.64 × 564.50
  4. Step 4: Simplify right side
    1,214.12x = 1,027,751.28
  5. Step 5: Solve for x
    x = 1,027,751.28/1,214.12
  6. Step 6: Final answer
    x = 846.50

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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.