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Finding the Fourth Proportional to 484.93, 670.50 and 423.42

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Solution

The fourth proportional to 484.93, 670.50 and 423.42 is: 585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.93 : 670.50 = 423.42 : x
  2. Step 2: Convert to fraction form
    484.93/670.50 = 423.42/x
  3. Step 3: Cross multiply
    484.93x = 670.50 × 423.42
  4. Step 4: Simplify right side
    484.93x = 283,903.11
  5. Step 5: Solve for x
    x = 283,903.11/484.93
  6. Step 6: Final answer
    x = 585.45

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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.