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Finding the Fourth Proportional to 586.15, 808.89 and 320.60

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Solution

The fourth proportional to 586.15, 808.89 and 320.60 is: 442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.15 : 808.89 = 320.60 : x
  2. Step 2: Convert to fraction form
    586.15/808.89 = 320.60/x
  3. Step 3: Cross multiply
    586.15x = 808.89 × 320.60
  4. Step 4: Simplify right side
    586.15x = 259,330.13
  5. Step 5: Solve for x
    x = 259,330.13/586.15
  6. Step 6: Final answer
    x = 442.43

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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.