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Finding the Fourth Proportional to 669.96, 1,000.12 and 578.68

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Solution

The fourth proportional to 669.96, 1,000.12 and 578.68 is: 863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.96 : 1,000.12 = 578.68 : x
  2. Step 2: Convert to fraction form
    669.96/1,000.12 = 578.68/x
  3. Step 3: Cross multiply
    669.96x = 1,000.12 × 578.68
  4. Step 4: Simplify right side
    669.96x = 578,749.44
  5. Step 5: Solve for x
    x = 578,749.44/669.96
  6. Step 6: Final answer
    x = 863.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.