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Finding the Fourth Proportional to 458.87, 684.40 and 412.39

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Solution

The fourth proportional to 458.87, 684.40 and 412.39 is: 615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.87 : 684.40 = 412.39 : x
  2. Step 2: Convert to fraction form
    458.87/684.40 = 412.39/x
  3. Step 3: Cross multiply
    458.87x = 684.40 × 412.39
  4. Step 4: Simplify right side
    458.87x = 282,240.31
  5. Step 5: Solve for x
    x = 282,240.31/458.87
  6. Step 6: Final answer
    x = 615.08

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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.