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Finding the Fourth Proportional to 462.56, 689.82 and 456.36

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Solution

The fourth proportional to 462.56, 689.82 and 456.36 is: 680.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.56 : 689.82 = 456.36 : x
  2. Step 2: Convert to fraction form
    462.56/689.82 = 456.36/x
  3. Step 3: Cross multiply
    462.56x = 689.82 × 456.36
  4. Step 4: Simplify right side
    462.56x = 314,806.26
  5. Step 5: Solve for x
    x = 314,806.26/462.56
  6. Step 6: Final answer
    x = 680.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.