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Finding the Fourth Proportional to 669.82, 924.10 and 512.29

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Solution

The fourth proportional to 669.82, 924.10 and 512.29 is: 706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.82 : 924.10 = 512.29 : x
  2. Step 2: Convert to fraction form
    669.82/924.10 = 512.29/x
  3. Step 3: Cross multiply
    669.82x = 924.10 × 512.29
  4. Step 4: Simplify right side
    669.82x = 473,401.87
  5. Step 5: Solve for x
    x = 473,401.87/669.82
  6. Step 6: Final answer
    x = 706.76

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1.5x scale

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.