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Finding the Fourth Proportional to 456.30, 680.54 and 407.70

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Solution

The fourth proportional to 456.30, 680.54 and 407.70 is: 608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.30 : 680.54 = 407.70 : x
  2. Step 2: Convert to fraction form
    456.30/680.54 = 407.70/x
  3. Step 3: Cross multiply
    456.30x = 680.54 × 407.70
  4. Step 4: Simplify right side
    456.30x = 277,454.12
  5. Step 5: Solve for x
    x = 277,454.12/456.30
  6. Step 6: Final answer
    x = 608.05

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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.