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Finding the Fourth Proportional to 1,019.06, 1,519.70 and 907.04

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Solution

The fourth proportional to 1,019.06, 1,519.70 and 907.04 is: 1,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.06 : 1,519.70 = 907.04 : x
  2. Step 2: Convert to fraction form
    1,019.06/1,519.70 = 907.04/x
  3. Step 3: Cross multiply
    1,019.06x = 1,519.70 × 907.04
  4. Step 4: Simplify right side
    1,019.06x = 1,378,428.69
  5. Step 5: Solve for x
    x = 1,378,428.69/1,019.06
  6. Step 6: Final answer
    x = 1,352.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.