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Finding the Fourth Proportional to 946.89, 1,420.26 and 322.15

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Solution

The fourth proportional to 946.89, 1,420.26 and 322.15 is: 483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.89 : 1,420.26 = 322.15 : x
  2. Step 2: Convert to fraction form
    946.89/1,420.26 = 322.15/x
  3. Step 3: Cross multiply
    946.89x = 1,420.26 × 322.15
  4. Step 4: Simplify right side
    946.89x = 457,539.56
  5. Step 5: Solve for x
    x = 457,539.56/946.89
  6. Step 6: Final answer
    x = 483.20

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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.