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Finding the Fourth Proportional to 623.63, 930.87 and 578.57

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Solution

The fourth proportional to 623.63, 930.87 and 578.57 is: 863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.63 : 930.87 = 578.57 : x
  2. Step 2: Convert to fraction form
    623.63/930.87 = 578.57/x
  3. Step 3: Cross multiply
    623.63x = 930.87 × 578.57
  4. Step 4: Simplify right side
    623.63x = 538,573.46
  5. Step 5: Solve for x
    x = 538,573.46/623.63
  6. Step 6: Final answer
    x = 863.61

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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.