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Finding the Fourth Proportional to 630.76, 945.49 and 457.00

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Solution

The fourth proportional to 630.76, 945.49 and 457.00 is: 685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.76 : 945.49 = 457.00 : x
  2. Step 2: Convert to fraction form
    630.76/945.49 = 457.00/x
  3. Step 3: Cross multiply
    630.76x = 945.49 × 457.00
  4. Step 4: Simplify right side
    630.76x = 432,081.92
  5. Step 5: Solve for x
    x = 432,081.92/630.76
  6. Step 6: Final answer
    x = 685.02

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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.