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Finding the Fourth Proportional to 702.98, 1,054.40 and 428.98

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Solution

The fourth proportional to 702.98, 1,054.40 and 428.98 is: 643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.98 : 1,054.40 = 428.98 : x
  2. Step 2: Convert to fraction form
    702.98/1,054.40 = 428.98/x
  3. Step 3: Cross multiply
    702.98x = 1,054.40 × 428.98
  4. Step 4: Simplify right side
    702.98x = 452,316.51
  5. Step 5: Solve for x
    x = 452,316.51/702.98
  6. Step 6: Final answer
    x = 643.43

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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.