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Finding the Fourth Proportional to 586.34, 808.79 and 365.12

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Solution

The fourth proportional to 586.34, 808.79 and 365.12 is: 503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.34 : 808.79 = 365.12 : x
  2. Step 2: Convert to fraction form
    586.34/808.79 = 365.12/x
  3. Step 3: Cross multiply
    586.34x = 808.79 × 365.12
  4. Step 4: Simplify right side
    586.34x = 295,299.54
  5. Step 5: Solve for x
    x = 295,299.54/586.34
  6. Step 6: Final answer
    x = 503.64

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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.