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Finding the Fourth Proportional to 702.72, 970.08 and 407.88

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Solution

The fourth proportional to 702.72, 970.08 and 407.88 is: 563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.72 : 970.08 = 407.88 : x
  2. Step 2: Convert to fraction form
    702.72/970.08 = 407.88/x
  3. Step 3: Cross multiply
    702.72x = 970.08 × 407.88
  4. Step 4: Simplify right side
    702.72x = 395,676.23
  5. Step 5: Solve for x
    x = 395,676.23/702.72
  6. Step 6: Final answer
    x = 563.06

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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.