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Finding the Fourth Proportional to 1,431.42, 1,974.74 and 907.13

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Solution

The fourth proportional to 1,431.42, 1,974.74 and 907.13 is: 1,251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.42 : 1,974.74 = 907.13 : x
  2. Step 2: Convert to fraction form
    1,431.42/1,974.74 = 907.13/x
  3. Step 3: Cross multiply
    1,431.42x = 1,974.74 × 907.13
  4. Step 4: Simplify right side
    1,431.42x = 1,791,331.49
  5. Step 5: Solve for x
    x = 1,791,331.49/1,431.42
  6. Step 6: Final answer
    x = 1,251.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.