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Finding the Fourth Proportional to 969.93, 1,455.17 and 739.08

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Solution

The fourth proportional to 969.93, 1,455.17 and 739.08 is: 1,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.93 : 1,455.17 = 739.08 : x
  2. Step 2: Convert to fraction form
    969.93/1,455.17 = 739.08/x
  3. Step 3: Cross multiply
    969.93x = 1,455.17 × 739.08
  4. Step 4: Simplify right side
    969.93x = 1,075,483.35
  5. Step 5: Solve for x
    x = 1,075,483.35/969.93
  6. Step 6: Final answer
    x = 1,108.83

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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.