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Finding the Fourth Proportional to 665.81, 999.05 and 373.64

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Solution

The fourth proportional to 665.81, 999.05 and 373.64 is: 560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.81 : 999.05 = 373.64 : x
  2. Step 2: Convert to fraction form
    665.81/999.05 = 373.64/x
  3. Step 3: Cross multiply
    665.81x = 999.05 × 373.64
  4. Step 4: Simplify right side
    665.81x = 373,280.05
  5. Step 5: Solve for x
    x = 373,280.05/665.81
  6. Step 6: Final answer
    x = 560.64

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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.