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Finding the Fourth Proportional to 456.64, 681.32 and 384.64

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Solution

The fourth proportional to 456.64, 681.32 and 384.64 is: 573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.64 : 681.32 = 384.64 : x
  2. Step 2: Convert to fraction form
    456.64/681.32 = 384.64/x
  3. Step 3: Cross multiply
    456.64x = 681.32 × 384.64
  4. Step 4: Simplify right side
    456.64x = 262,062.92
  5. Step 5: Solve for x
    x = 262,062.92/456.64
  6. Step 6: Final answer
    x = 573.89

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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.