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Finding the Fourth Proportional to 623.72, 860.76 and 358.16

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Solution

The fourth proportional to 623.72, 860.76 and 358.16 is: 494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.72 : 860.76 = 358.16 : x
  2. Step 2: Convert to fraction form
    623.72/860.76 = 358.16/x
  3. Step 3: Cross multiply
    623.72x = 860.76 × 358.16
  4. Step 4: Simplify right side
    623.72x = 308,289.80
  5. Step 5: Solve for x
    x = 308,289.80/623.72
  6. Step 6: Final answer
    x = 494.28

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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.