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Finding the Fourth Proportional to 605.06, 907.80 and 312.80

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Solution

The fourth proportional to 605.06, 907.80 and 312.80 is: 469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.06 : 907.80 = 312.80 : x
  2. Step 2: Convert to fraction form
    605.06/907.80 = 312.80/x
  3. Step 3: Cross multiply
    605.06x = 907.80 × 312.80
  4. Step 4: Simplify right side
    605.06x = 283,959.84
  5. Step 5: Solve for x
    x = 283,959.84/605.06
  6. Step 6: Final answer
    x = 469.31

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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.