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Finding the Fourth Proportional to 704.61, 970.07 and 669.99

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Solution

The fourth proportional to 704.61, 970.07 and 669.99 is: 922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.61 : 970.07 = 669.99 : x
  2. Step 2: Convert to fraction form
    704.61/970.07 = 669.99/x
  3. Step 3: Cross multiply
    704.61x = 970.07 × 669.99
  4. Step 4: Simplify right side
    704.61x = 649,933.85
  5. Step 5: Solve for x
    x = 649,933.85/704.61
  6. Step 6: Final answer
    x = 922.40

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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.