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Finding the Fourth Proportional to 484.68, 720.80 and 469.30

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Solution

The fourth proportional to 484.68, 720.80 and 469.30 is: 697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.68 : 720.80 = 469.30 : x
  2. Step 2: Convert to fraction form
    484.68/720.80 = 469.30/x
  3. Step 3: Cross multiply
    484.68x = 720.80 × 469.30
  4. Step 4: Simplify right side
    484.68x = 338,267.29
  5. Step 5: Solve for x
    x = 338,267.29/484.68
  6. Step 6: Final answer
    x = 697.92

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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.