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Finding the Fourth Proportional to 586.79, 884.20 and 486.32

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Solution

The fourth proportional to 586.79, 884.20 and 486.32 is: 732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.79 : 884.20 = 486.32 : x
  2. Step 2: Convert to fraction form
    586.79/884.20 = 486.32/x
  3. Step 3: Cross multiply
    586.79x = 884.20 × 486.32
  4. Step 4: Simplify right side
    586.79x = 430,004.14
  5. Step 5: Solve for x
    x = 430,004.14/586.79
  6. Step 6: Final answer
    x = 732.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.