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Finding the Fourth Proportional to 564.66, 845.40 and 341.64

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Solution

The fourth proportional to 564.66, 845.40 and 341.64 is: 511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.66 : 845.40 = 341.64 : x
  2. Step 2: Convert to fraction form
    564.66/845.40 = 341.64/x
  3. Step 3: Cross multiply
    564.66x = 845.40 × 341.64
  4. Step 4: Simplify right side
    564.66x = 288,822.46
  5. Step 5: Solve for x
    x = 288,822.46/564.66
  6. Step 6: Final answer
    x = 511.50

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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.