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Finding the Fourth Proportional to 628.92, 943.46 and 304.06

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Solution

The fourth proportional to 628.92, 943.46 and 304.06 is: 456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.92 : 943.46 = 304.06 : x
  2. Step 2: Convert to fraction form
    628.92/943.46 = 304.06/x
  3. Step 3: Cross multiply
    628.92x = 943.46 × 304.06
  4. Step 4: Simplify right side
    628.92x = 286,868.45
  5. Step 5: Solve for x
    x = 286,868.45/628.92
  6. Step 6: Final answer
    x = 456.13

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1.5x scale

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.