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Finding the Fourth Proportional to 586.34, 879.90 and 312.62

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Solution

The fourth proportional to 586.34, 879.90 and 312.62 is: 469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.34 : 879.90 = 312.62 : x
  2. Step 2: Convert to fraction form
    586.34/879.90 = 312.62/x
  3. Step 3: Cross multiply
    586.34x = 879.90 × 312.62
  4. Step 4: Simplify right side
    586.34x = 275,074.48
  5. Step 5: Solve for x
    x = 275,074.48/586.34
  6. Step 6: Final answer
    x = 469.14

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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.