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Finding the Fourth Proportional to 669.86, 922.65 and 624.50

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Solution

The fourth proportional to 669.86, 922.65 and 624.50 is: 860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.86 : 922.65 = 624.50 : x
  2. Step 2: Convert to fraction form
    669.86/922.65 = 624.50/x
  3. Step 3: Cross multiply
    669.86x = 922.65 × 624.50
  4. Step 4: Simplify right side
    669.86x = 576,194.93
  5. Step 5: Solve for x
    x = 576,194.93/669.86
  6. Step 6: Final answer
    x = 860.17

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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.