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Finding the Fourth Proportional to 702.05, 970.11 and 608.49

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Solution

The fourth proportional to 702.05, 970.11 and 608.49 is: 840.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.05 : 970.11 = 608.49 : x
  2. Step 2: Convert to fraction form
    702.05/970.11 = 608.49/x
  3. Step 3: Cross multiply
    702.05x = 970.11 × 608.49
  4. Step 4: Simplify right side
    702.05x = 590,302.23
  5. Step 5: Solve for x
    x = 590,302.23/702.05
  6. Step 6: Final answer
    x = 840.83

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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.