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Finding the Fourth Proportional to 704.84, 970.79 and 649.49

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Solution

The fourth proportional to 704.84, 970.79 and 649.49 is: 894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.84 : 970.79 = 649.49 : x
  2. Step 2: Convert to fraction form
    704.84/970.79 = 649.49/x
  3. Step 3: Cross multiply
    704.84x = 970.79 × 649.49
  4. Step 4: Simplify right side
    704.84x = 630,510.30
  5. Step 5: Solve for x
    x = 630,510.30/704.84
  6. Step 6: Final answer
    x = 894.55

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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.