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Finding the Fourth Proportional to 840.15, 1,153.14 and 744.78

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Solution

The fourth proportional to 840.15, 1,153.14 and 744.78 is: 1,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.15 : 1,153.14 = 744.78 : x
  2. Step 2: Convert to fraction form
    840.15/1,153.14 = 744.78/x
  3. Step 3: Cross multiply
    840.15x = 1,153.14 × 744.78
  4. Step 4: Simplify right side
    840.15x = 858,835.61
  5. Step 5: Solve for x
    x = 858,835.61/840.15
  6. Step 6: Final answer
    x = 1,022.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.