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Finding the Fourth Proportional to 914.66, 1,373.21 and 428.05

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Solution

The fourth proportional to 914.66, 1,373.21 and 428.05 is: 642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.66 : 1,373.21 = 428.05 : x
  2. Step 2: Convert to fraction form
    914.66/1,373.21 = 428.05/x
  3. Step 3: Cross multiply
    914.66x = 1,373.21 × 428.05
  4. Step 4: Simplify right side
    914.66x = 587,802.54
  5. Step 5: Solve for x
    x = 587,802.54/914.66
  6. Step 6: Final answer
    x = 642.65

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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.