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Finding the Fourth Proportional to 744.82, 1,117.24 and 312.02

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Solution

The fourth proportional to 744.82, 1,117.24 and 312.02 is: 468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.82 : 1,117.24 = 312.02 : x
  2. Step 2: Convert to fraction form
    744.82/1,117.24 = 312.02/x
  3. Step 3: Cross multiply
    744.82x = 1,117.24 × 312.02
  4. Step 4: Simplify right side
    744.82x = 348,601.22
  5. Step 5: Solve for x
    x = 348,601.22/744.82
  6. Step 6: Final answer
    x = 468.03

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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.