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Finding the Fourth Proportional to 585.30, 878.04 and 296.58

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Solution

The fourth proportional to 585.30, 878.04 and 296.58 is: 444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.30 : 878.04 = 296.58 : x
  2. Step 2: Convert to fraction form
    585.30/878.04 = 296.58/x
  3. Step 3: Cross multiply
    585.30x = 878.04 × 296.58
  4. Step 4: Simplify right side
    585.30x = 260,409.10
  5. Step 5: Solve for x
    x = 260,409.10/585.30
  6. Step 6: Final answer
    x = 444.92

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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.