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Finding the Fourth Proportional to 630.18, 946.08 and 414.32

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Solution

The fourth proportional to 630.18, 946.08 and 414.32 is: 622.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.18 : 946.08 = 414.32 : x
  2. Step 2: Convert to fraction form
    630.18/946.08 = 414.32/x
  3. Step 3: Cross multiply
    630.18x = 946.08 × 414.32
  4. Step 4: Simplify right side
    630.18x = 391,975.14
  5. Step 5: Solve for x
    x = 391,975.14/630.18
  6. Step 6: Final answer
    x = 622.01

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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.