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Finding the Fourth Proportional to 670.96, 926.06 and 458.84

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Solution

The fourth proportional to 670.96, 926.06 and 458.84 is: 633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.96 : 926.06 = 458.84 : x
  2. Step 2: Convert to fraction form
    670.96/926.06 = 458.84/x
  3. Step 3: Cross multiply
    670.96x = 926.06 × 458.84
  4. Step 4: Simplify right side
    670.96x = 424,913.37
  5. Step 5: Solve for x
    x = 424,913.37/670.96
  6. Step 6: Final answer
    x = 633.29

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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.