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Finding the Fourth Proportional to 665.77, 999.38 and 564.31

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Solution

The fourth proportional to 665.77, 999.38 and 564.31 is: 847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.77 : 999.38 = 564.31 : x
  2. Step 2: Convert to fraction form
    665.77/999.38 = 564.31/x
  3. Step 3: Cross multiply
    665.77x = 999.38 × 564.31
  4. Step 4: Simplify right side
    665.77x = 563,960.13
  5. Step 5: Solve for x
    x = 563,960.13/665.77
  6. Step 6: Final answer
    x = 847.08

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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.