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Finding the Fourth Proportional to 456.57, 681.26 and 410.45

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Solution

The fourth proportional to 456.57, 681.26 and 410.45 is: 612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.57 : 681.26 = 410.45 : x
  2. Step 2: Convert to fraction form
    456.57/681.26 = 410.45/x
  3. Step 3: Cross multiply
    456.57x = 681.26 × 410.45
  4. Step 4: Simplify right side
    456.57x = 279,617.71
  5. Step 5: Solve for x
    x = 279,617.71/456.57
  6. Step 6: Final answer
    x = 612.43

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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.