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Finding the Fourth Proportional to 647.56, 894.42 and 585.37

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Solution

The fourth proportional to 647.56, 894.42 and 585.37 is: 808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.56 : 894.42 = 585.37 : x
  2. Step 2: Convert to fraction form
    647.56/894.42 = 585.37/x
  3. Step 3: Cross multiply
    647.56x = 894.42 × 585.37
  4. Step 4: Simplify right side
    647.56x = 523,566.64
  5. Step 5: Solve for x
    x = 523,566.64/647.56
  6. Step 6: Final answer
    x = 808.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.