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Finding the Fourth Proportional to 670.08, 924.96 and 463.36

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Solution

The fourth proportional to 670.08, 924.96 and 463.36 is: 639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.08 : 924.96 = 463.36 : x
  2. Step 2: Convert to fraction form
    670.08/924.96 = 463.36/x
  3. Step 3: Cross multiply
    670.08x = 924.96 × 463.36
  4. Step 4: Simplify right side
    670.08x = 428,589.47
  5. Step 5: Solve for x
    x = 428,589.47/670.08
  6. Step 6: Final answer
    x = 639.61

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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.