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Finding the Fourth Proportional to 702.98, 1,054.55 and 264.18

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Solution

The fourth proportional to 702.98, 1,054.55 and 264.18 is: 396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.98 : 1,054.55 = 264.18 : x
  2. Step 2: Convert to fraction form
    702.98/1,054.55 = 264.18/x
  3. Step 3: Cross multiply
    702.98x = 1,054.55 × 264.18
  4. Step 4: Simplify right side
    702.98x = 278,591.68
  5. Step 5: Solve for x
    x = 278,591.68/702.98
  6. Step 6: Final answer
    x = 396.30

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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.