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Finding the Fourth Proportional to 702.08, 968.62 and 407.20

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Solution

The fourth proportional to 702.08, 968.62 and 407.20 is: 561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.08 : 968.62 = 407.20 : x
  2. Step 2: Convert to fraction form
    702.08/968.62 = 407.20/x
  3. Step 3: Cross multiply
    702.08x = 968.62 × 407.20
  4. Step 4: Simplify right side
    702.08x = 394,422.06
  5. Step 5: Solve for x
    x = 394,422.06/702.08
  6. Step 6: Final answer
    x = 561.79

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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.