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Finding the Fourth Proportional to 633.86, 945.30 and 580.70

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Solution

The fourth proportional to 633.86, 945.30 and 580.70 is: 866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.86 : 945.30 = 580.70 : x
  2. Step 2: Convert to fraction form
    633.86/945.30 = 580.70/x
  3. Step 3: Cross multiply
    633.86x = 945.30 × 580.70
  4. Step 4: Simplify right side
    633.86x = 548,935.71
  5. Step 5: Solve for x
    x = 548,935.71/633.86
  6. Step 6: Final answer
    x = 866.02

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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.