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Finding the Fourth Proportional to 458.55, 684.09 and 377.15

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Solution

The fourth proportional to 458.55, 684.09 and 377.15 is: 562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.55 : 684.09 = 377.15 : x
  2. Step 2: Convert to fraction form
    458.55/684.09 = 377.15/x
  3. Step 3: Cross multiply
    458.55x = 684.09 × 377.15
  4. Step 4: Simplify right side
    458.55x = 258,001.12
  5. Step 5: Solve for x
    x = 258,001.12/458.55
  6. Step 6: Final answer
    x = 562.65

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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.