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Finding the Fourth Proportional to 702.55, 969.41 and 407.84

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Solution

The fourth proportional to 702.55, 969.41 and 407.84 is: 562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.55 : 969.41 = 407.84 : x
  2. Step 2: Convert to fraction form
    702.55/969.41 = 407.84/x
  3. Step 3: Cross multiply
    702.55x = 969.41 × 407.84
  4. Step 4: Simplify right side
    702.55x = 395,360.35
  5. Step 5: Solve for x
    x = 395,360.35/702.55
  6. Step 6: Final answer
    x = 562.75

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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.