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Finding the Fourth Proportional to 1,470.98, 2,206.38 and 605

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Solution

The fourth proportional to 1,470.98, 2,206.38 and 605 is: 907.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.98 : 2,206.38 = 605 : x
  2. Step 2: Convert to fraction form
    1,470.98/2,206.38 = 605/x
  3. Step 3: Cross multiply
    1,470.98x = 2,206.38 × 605
  4. Step 4: Simplify right side
    1,470.98x = 1,334,859.90
  5. Step 5: Solve for x
    x = 1,334,859.90/1,470.98
  6. Step 6: Final answer
    x = 907.46

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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.