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Finding the Fourth Proportional to 665.84, 1,002.74 and 585.56

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Solution

The fourth proportional to 665.84, 1,002.74 and 585.56 is: 881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.84 : 1,002.74 = 585.56 : x
  2. Step 2: Convert to fraction form
    665.84/1,002.74 = 585.56/x
  3. Step 3: Cross multiply
    665.84x = 1,002.74 × 585.56
  4. Step 4: Simplify right side
    665.84x = 587,164.43
  5. Step 5: Solve for x
    x = 587,164.43/665.84
  6. Step 6: Final answer
    x = 881.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.