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Finding the Fourth Proportional to 907.12, 1,359.60 and 745.12

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Solution

The fourth proportional to 907.12, 1,359.60 and 745.12 is: 1,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.12 : 1,359.60 = 745.12 : x
  2. Step 2: Convert to fraction form
    907.12/1,359.60 = 745.12/x
  3. Step 3: Cross multiply
    907.12x = 1,359.60 × 745.12
  4. Step 4: Simplify right side
    907.12x = 1,013,065.15
  5. Step 5: Solve for x
    x = 1,013,065.15/907.12
  6. Step 6: Final answer
    x = 1,116.79

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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.