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Finding the Fourth Proportional to 605.47, 907.26 and 468.85

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Solution

The fourth proportional to 605.47, 907.26 and 468.85 is: 702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.47 : 907.26 = 468.85 : x
  2. Step 2: Convert to fraction form
    605.47/907.26 = 468.85/x
  3. Step 3: Cross multiply
    605.47x = 907.26 × 468.85
  4. Step 4: Simplify right side
    605.47x = 425,368.85
  5. Step 5: Solve for x
    x = 425,368.85/605.47
  6. Step 6: Final answer
    x = 702.54

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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.