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Finding the Fourth Proportional to 495.44, 739.60 and 430.64

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Solution

The fourth proportional to 495.44, 739.60 and 430.64 is: 642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.44 : 739.60 = 430.64 : x
  2. Step 2: Convert to fraction form
    495.44/739.60 = 430.64/x
  3. Step 3: Cross multiply
    495.44x = 739.60 × 430.64
  4. Step 4: Simplify right side
    495.44x = 318,501.34
  5. Step 5: Solve for x
    x = 318,501.34/495.44
  6. Step 6: Final answer
    x = 642.87

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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.