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Finding the Fourth Proportional to 586.80, 811.20 and 447.60

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Solution

The fourth proportional to 586.80, 811.20 and 447.60 is: 618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.80 : 811.20 = 447.60 : x
  2. Step 2: Convert to fraction form
    586.80/811.20 = 447.60/x
  3. Step 3: Cross multiply
    586.80x = 811.20 × 447.60
  4. Step 4: Simplify right side
    586.80x = 363,093.12
  5. Step 5: Solve for x
    x = 363,093.12/586.80
  6. Step 6: Final answer
    x = 618.77

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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.