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Finding the Fourth Proportional to 456.19, 686.59 and 411.46

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Solution

The fourth proportional to 456.19, 686.59 and 411.46 is: 619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.19 : 686.59 = 411.46 : x
  2. Step 2: Convert to fraction form
    456.19/686.59 = 411.46/x
  3. Step 3: Cross multiply
    456.19x = 686.59 × 411.46
  4. Step 4: Simplify right side
    456.19x = 282,504.32
  5. Step 5: Solve for x
    x = 282,504.32/456.19
  6. Step 6: Final answer
    x = 619.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.