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Finding the Fourth Proportional to 484.90, 722.12 and 463.84

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Solution

The fourth proportional to 484.90, 722.12 and 463.84 is: 690.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.90 : 722.12 = 463.84 : x
  2. Step 2: Convert to fraction form
    484.90/722.12 = 463.84/x
  3. Step 3: Cross multiply
    484.90x = 722.12 × 463.84
  4. Step 4: Simplify right side
    484.90x = 334,948.14
  5. Step 5: Solve for x
    x = 334,948.14/484.90
  6. Step 6: Final answer
    x = 690.76

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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.