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Finding the Fourth Proportional to 585.92, 880.47 and 312.19

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Solution

The fourth proportional to 585.92, 880.47 and 312.19 is: 469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.92 : 880.47 = 312.19 : x
  2. Step 2: Convert to fraction form
    585.92/880.47 = 312.19/x
  3. Step 3: Cross multiply
    585.92x = 880.47 × 312.19
  4. Step 4: Simplify right side
    585.92x = 274,871.73
  5. Step 5: Solve for x
    x = 274,871.73/585.92
  6. Step 6: Final answer
    x = 469.13

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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.