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Finding the Fourth Proportional to 668.35, 924.30 and 585.32

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Solution

The fourth proportional to 668.35, 924.30 and 585.32 is: 809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.35 : 924.30 = 585.32 : x
  2. Step 2: Convert to fraction form
    668.35/924.30 = 585.32/x
  3. Step 3: Cross multiply
    668.35x = 924.30 × 585.32
  4. Step 4: Simplify right side
    668.35x = 541,008.35
  5. Step 5: Solve for x
    x = 541,008.35/668.35
  6. Step 6: Final answer
    x = 809.47

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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.