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Finding the Fourth Proportional to 571.62, 851.45 and 564.06

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Solution

The fourth proportional to 571.62, 851.45 and 564.06 is: 840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.62 : 851.45 = 564.06 : x
  2. Step 2: Convert to fraction form
    571.62/851.45 = 564.06/x
  3. Step 3: Cross multiply
    571.62x = 851.45 × 564.06
  4. Step 4: Simplify right side
    571.62x = 480,268.89
  5. Step 5: Solve for x
    x = 480,268.89/571.62
  6. Step 6: Final answer
    x = 840.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.