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Finding the Fourth Proportional to 456.81, 681.08 and 415.34

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Solution

The fourth proportional to 456.81, 681.08 and 415.34 is: 619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.81 : 681.08 = 415.34 : x
  2. Step 2: Convert to fraction form
    456.81/681.08 = 415.34/x
  3. Step 3: Cross multiply
    456.81x = 681.08 × 415.34
  4. Step 4: Simplify right side
    456.81x = 282,874.29
  5. Step 5: Solve for x
    x = 282,874.29/456.81
  6. Step 6: Final answer
    x = 619.24

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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.