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Finding the Fourth Proportional to 946.89, 1,420.05 and 399.06

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Solution

The fourth proportional to 946.89, 1,420.05 and 399.06 is: 598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.89 : 1,420.05 = 399.06 : x
  2. Step 2: Convert to fraction form
    946.89/1,420.05 = 399.06/x
  3. Step 3: Cross multiply
    946.89x = 1,420.05 × 399.06
  4. Step 4: Simplify right side
    946.89x = 566,685.15
  5. Step 5: Solve for x
    x = 566,685.15/946.89
  6. Step 6: Final answer
    x = 598.47

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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.