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Finding the Fourth Proportional to 702.98, 1,054.64 and 270.02

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Solution

The fourth proportional to 702.98, 1,054.64 and 270.02 is: 405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.98 : 1,054.64 = 270.02 : x
  2. Step 2: Convert to fraction form
    702.98/1,054.64 = 270.02/x
  3. Step 3: Cross multiply
    702.98x = 1,054.64 × 270.02
  4. Step 4: Simplify right side
    702.98x = 284,769.29
  5. Step 5: Solve for x
    x = 284,769.29/702.98
  6. Step 6: Final answer
    x = 405.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.