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Finding the Fourth Proportional to 630.94, 946.88 and 455.15

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Solution

The fourth proportional to 630.94, 946.88 and 455.15 is: 683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.94 : 946.88 = 455.15 : x
  2. Step 2: Convert to fraction form
    630.94/946.88 = 455.15/x
  3. Step 3: Cross multiply
    630.94x = 946.88 × 455.15
  4. Step 4: Simplify right side
    630.94x = 430,970.68
  5. Step 5: Solve for x
    x = 430,970.68/630.94
  6. Step 6: Final answer
    x = 683.06

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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.