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Finding the Fourth Proportional to 703.18, 1,054.55 and 292.24

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Solution

The fourth proportional to 703.18, 1,054.55 and 292.24 is: 438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.18 : 1,054.55 = 292.24 : x
  2. Step 2: Convert to fraction form
    703.18/1,054.55 = 292.24/x
  3. Step 3: Cross multiply
    703.18x = 1,054.55 × 292.24
  4. Step 4: Simplify right side
    703.18x = 308,183.74
  5. Step 5: Solve for x
    x = 308,183.74/703.18
  6. Step 6: Final answer
    x = 438.27

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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.