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Finding the Fourth Proportional to 907.56, 1,359.30 and 788.90

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Solution

The fourth proportional to 907.56, 1,359.30 and 788.90 is: 1,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.56 : 1,359.30 = 788.90 : x
  2. Step 2: Convert to fraction form
    907.56/1,359.30 = 788.90/x
  3. Step 3: Cross multiply
    907.56x = 1,359.30 × 788.90
  4. Step 4: Simplify right side
    907.56x = 1,072,351.14
  5. Step 5: Solve for x
    x = 1,072,351.14/907.56
  6. Step 6: Final answer
    x = 1,181.58

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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.