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Finding the Fourth Proportional to 682.04, 940.65 and 458.01

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Solution

The fourth proportional to 682.04, 940.65 and 458.01 is: 631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.04 : 940.65 = 458.01 : x
  2. Step 2: Convert to fraction form
    682.04/940.65 = 458.01/x
  3. Step 3: Cross multiply
    682.04x = 940.65 × 458.01
  4. Step 4: Simplify right side
    682.04x = 430,827.11
  5. Step 5: Solve for x
    x = 430,827.11/682.04
  6. Step 6: Final answer
    x = 631.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.