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Finding the Fourth Proportional to 586.29, 879.09 and 499.67

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Solution

The fourth proportional to 586.29, 879.09 and 499.67 is: 749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.29 : 879.09 = 499.67 : x
  2. Step 2: Convert to fraction form
    586.29/879.09 = 499.67/x
  3. Step 3: Cross multiply
    586.29x = 879.09 × 499.67
  4. Step 4: Simplify right side
    586.29x = 439,254.90
  5. Step 5: Solve for x
    x = 439,254.90/586.29
  6. Step 6: Final answer
    x = 749.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.