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Finding the Fourth Proportional to 623.16, 860.30 and 434.37

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Solution

The fourth proportional to 623.16, 860.30 and 434.37 is: 599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.16 : 860.30 = 434.37 : x
  2. Step 2: Convert to fraction form
    623.16/860.30 = 434.37/x
  3. Step 3: Cross multiply
    623.16x = 860.30 × 434.37
  4. Step 4: Simplify right side
    623.16x = 373,688.49
  5. Step 5: Solve for x
    x = 373,688.49/623.16
  6. Step 6: Final answer
    x = 599.67

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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.