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Finding the Fourth Proportional to 586.76, 879.32 and 509.90

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Solution

The fourth proportional to 586.76, 879.32 and 509.90 is: 764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.76 : 879.32 = 509.90 : x
  2. Step 2: Convert to fraction form
    586.76/879.32 = 509.90/x
  3. Step 3: Cross multiply
    586.76x = 879.32 × 509.90
  4. Step 4: Simplify right side
    586.76x = 448,365.27
  5. Step 5: Solve for x
    x = 448,365.27/586.76
  6. Step 6: Final answer
    x = 764.14

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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.