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Finding the Fourth Proportional to 634.64, 946.78 and 604.40

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Solution

The fourth proportional to 634.64, 946.78 and 604.40 is: 901.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.64 : 946.78 = 604.40 : x
  2. Step 2: Convert to fraction form
    634.64/946.78 = 604.40/x
  3. Step 3: Cross multiply
    634.64x = 946.78 × 604.40
  4. Step 4: Simplify right side
    634.64x = 572,233.83
  5. Step 5: Solve for x
    x = 572,233.83/634.64
  6. Step 6: Final answer
    x = 901.67

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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.