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Finding the Fourth Proportional to 623.64, 930.39 and 599.16

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Solution

The fourth proportional to 623.64, 930.39 and 599.16 is: 893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.64 : 930.39 = 599.16 : x
  2. Step 2: Convert to fraction form
    623.64/930.39 = 599.16/x
  3. Step 3: Cross multiply
    623.64x = 930.39 × 599.16
  4. Step 4: Simplify right side
    623.64x = 557,452.47
  5. Step 5: Solve for x
    x = 557,452.47/623.64
  6. Step 6: Final answer
    x = 893.87

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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.