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Finding the Fourth Proportional to 668.46, 924.03 and 512.94

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Solution

The fourth proportional to 668.46, 924.03 and 512.94 is: 709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.46 : 924.03 = 512.94 : x
  2. Step 2: Convert to fraction form
    668.46/924.03 = 512.94/x
  3. Step 3: Cross multiply
    668.46x = 924.03 × 512.94
  4. Step 4: Simplify right side
    668.46x = 473,971.95
  5. Step 5: Solve for x
    x = 473,971.95/668.46
  6. Step 6: Final answer
    x = 709.05

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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.