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Finding the Fourth Proportional to 623.64, 930.88 and 578.58

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Solution

The fourth proportional to 623.64, 930.88 and 578.58 is: 863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.64 : 930.88 = 578.58 : x
  2. Step 2: Convert to fraction form
    623.64/930.88 = 578.58/x
  3. Step 3: Cross multiply
    623.64x = 930.88 × 578.58
  4. Step 4: Simplify right side
    623.64x = 538,588.55
  5. Step 5: Solve for x
    x = 538,588.55/623.64
  6. Step 6: Final answer
    x = 863.62

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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.