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Finding the Fourth Proportional to 702.73, 1,054.11 and 572.14

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Solution

The fourth proportional to 702.73, 1,054.11 and 572.14 is: 858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.73 : 1,054.11 = 572.14 : x
  2. Step 2: Convert to fraction form
    702.73/1,054.11 = 572.14/x
  3. Step 3: Cross multiply
    702.73x = 1,054.11 × 572.14
  4. Step 4: Simplify right side
    702.73x = 603,093.22
  5. Step 5: Solve for x
    x = 603,093.22/702.73
  6. Step 6: Final answer
    x = 858.22

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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.