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Finding the Fourth Proportional to 585.98, 879.22 and 312

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Solution

The fourth proportional to 585.98, 879.22 and 312 is: 468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.98 : 879.22 = 312 : x
  2. Step 2: Convert to fraction form
    585.98/879.22 = 312/x
  3. Step 3: Cross multiply
    585.98x = 879.22 × 312
  4. Step 4: Simplify right side
    585.98x = 274,316.64
  5. Step 5: Solve for x
    x = 274,316.64/585.98
  6. Step 6: Final answer
    x = 468.13

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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.