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Finding the Fourth Proportional to 458.83, 684.89 and 404.16

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Solution

The fourth proportional to 458.83, 684.89 and 404.16 is: 603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.83 : 684.89 = 404.16 : x
  2. Step 2: Convert to fraction form
    458.83/684.89 = 404.16/x
  3. Step 3: Cross multiply
    458.83x = 684.89 × 404.16
  4. Step 4: Simplify right side
    458.83x = 276,802.07
  5. Step 5: Solve for x
    x = 276,802.07/458.83
  6. Step 6: Final answer
    x = 603.28

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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.