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Finding the Fourth Proportional to 669.86, 922.65 and 512.67

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Solution

The fourth proportional to 669.86, 922.65 and 512.67 is: 706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.86 : 922.65 = 512.67 : x
  2. Step 2: Convert to fraction form
    669.86/922.65 = 512.67/x
  3. Step 3: Cross multiply
    669.86x = 922.65 × 512.67
  4. Step 4: Simplify right side
    669.86x = 473,014.98
  5. Step 5: Solve for x
    x = 473,014.98/669.86
  6. Step 6: Final answer
    x = 706.14

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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.