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Finding the Fourth Proportional to 605.26, 907.08 and 533.98

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Solution

The fourth proportional to 605.26, 907.08 and 533.98 is: 800.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.26 : 907.08 = 533.98 : x
  2. Step 2: Convert to fraction form
    605.26/907.08 = 533.98/x
  3. Step 3: Cross multiply
    605.26x = 907.08 × 533.98
  4. Step 4: Simplify right side
    605.26x = 484,362.58
  5. Step 5: Solve for x
    x = 484,362.58/605.26
  6. Step 6: Final answer
    x = 800.26

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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.