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Finding the Fourth Proportional to 674.16, 1,004.46 and 630

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Solution

The fourth proportional to 674.16, 1,004.46 and 630 is: 938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.16 : 1,004.46 = 630 : x
  2. Step 2: Convert to fraction form
    674.16/1,004.46 = 630/x
  3. Step 3: Cross multiply
    674.16x = 1,004.46 × 630
  4. Step 4: Simplify right side
    674.16x = 632,809.80
  5. Step 5: Solve for x
    x = 632,809.80/674.16
  6. Step 6: Final answer
    x = 938.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.