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Finding the Fourth Proportional to 636.13, 953.93 and 430.76

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Solution

The fourth proportional to 636.13, 953.93 and 430.76 is: 645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.13 : 953.93 = 430.76 : x
  2. Step 2: Convert to fraction form
    636.13/953.93 = 430.76/x
  3. Step 3: Cross multiply
    636.13x = 953.93 × 430.76
  4. Step 4: Simplify right side
    636.13x = 410,914.89
  5. Step 5: Solve for x
    x = 410,914.89/636.13
  6. Step 6: Final answer
    x = 645.96

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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.