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Finding the Fourth Proportional to 582.39, 873.18 and 257.58

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Solution

The fourth proportional to 582.39, 873.18 and 257.58 is: 386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.39 : 873.18 = 257.58 : x
  2. Step 2: Convert to fraction form
    582.39/873.18 = 257.58/x
  3. Step 3: Cross multiply
    582.39x = 873.18 × 257.58
  4. Step 4: Simplify right side
    582.39x = 224,913.70
  5. Step 5: Solve for x
    x = 224,913.70/582.39
  6. Step 6: Final answer
    x = 386.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.