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Finding the Fourth Proportional to 665.64, 1,002.33 and 585.45

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Solution

The fourth proportional to 665.64, 1,002.33 and 585.45 is: 881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.64 : 1,002.33 = 585.45 : x
  2. Step 2: Convert to fraction form
    665.64/1,002.33 = 585.45/x
  3. Step 3: Cross multiply
    665.64x = 1,002.33 × 585.45
  4. Step 4: Simplify right side
    665.64x = 586,814.10
  5. Step 5: Solve for x
    x = 586,814.10/665.64
  6. Step 6: Final answer
    x = 881.58

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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.