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Finding the Fourth Proportional to 458.04, 684.10 and 414.62

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Solution

The fourth proportional to 458.04, 684.10 and 414.62 is: 619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.04 : 684.10 = 414.62 : x
  2. Step 2: Convert to fraction form
    458.04/684.10 = 414.62/x
  3. Step 3: Cross multiply
    458.04x = 684.10 × 414.62
  4. Step 4: Simplify right side
    458.04x = 283,637.08
  5. Step 5: Solve for x
    x = 283,637.08/458.04
  6. Step 6: Final answer
    x = 619.24

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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.