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Finding the Fourth Proportional to 702.99, 970.05 and 408.35

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Solution

The fourth proportional to 702.99, 970.05 and 408.35 is: 563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.99 : 970.05 = 408.35 : x
  2. Step 2: Convert to fraction form
    702.99/970.05 = 408.35/x
  3. Step 3: Cross multiply
    702.99x = 970.05 × 408.35
  4. Step 4: Simplify right side
    702.99x = 396,119.92
  5. Step 5: Solve for x
    x = 396,119.92/702.99
  6. Step 6: Final answer
    x = 563.48

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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.