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Finding the Fourth Proportional to 946.30, 1,420.02 and 646.44

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Solution

The fourth proportional to 946.30, 1,420.02 and 646.44 is: 970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.30 : 1,420.02 = 646.44 : x
  2. Step 2: Convert to fraction form
    946.30/1,420.02 = 646.44/x
  3. Step 3: Cross multiply
    946.30x = 1,420.02 × 646.44
  4. Step 4: Simplify right side
    946.30x = 917,957.73
  5. Step 5: Solve for x
    x = 917,957.73/946.30
  6. Step 6: Final answer
    x = 970.05

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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.