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Finding the Fourth Proportional to 1,046.89, 1,570.26 and 907.57

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Solution

The fourth proportional to 1,046.89, 1,570.26 and 907.57 is: 1,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.89 : 1,570.26 = 907.57 : x
  2. Step 2: Convert to fraction form
    1,046.89/1,570.26 = 907.57/x
  3. Step 3: Cross multiply
    1,046.89x = 1,570.26 × 907.57
  4. Step 4: Simplify right side
    1,046.89x = 1,425,120.87
  5. Step 5: Solve for x
    x = 1,425,120.87/1,046.89
  6. Step 6: Final answer
    x = 1,361.29

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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.