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Finding the Fourth Proportional to 630.35, 869.93 and 364.83

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Solution

The fourth proportional to 630.35, 869.93 and 364.83 is: 503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.35 : 869.93 = 364.83 : x
  2. Step 2: Convert to fraction form
    630.35/869.93 = 364.83/x
  3. Step 3: Cross multiply
    630.35x = 869.93 × 364.83
  4. Step 4: Simplify right side
    630.35x = 317,376.56
  5. Step 5: Solve for x
    x = 317,376.56/630.35
  6. Step 6: Final answer
    x = 503.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.