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Finding the Fourth Proportional to 623.58, 934.55 and 258.17

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Solution

The fourth proportional to 623.58, 934.55 and 258.17 is: 386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.58 : 934.55 = 258.17 : x
  2. Step 2: Convert to fraction form
    623.58/934.55 = 258.17/x
  3. Step 3: Cross multiply
    623.58x = 934.55 × 258.17
  4. Step 4: Simplify right side
    623.58x = 241,272.77
  5. Step 5: Solve for x
    x = 241,272.77/623.58
  6. Step 6: Final answer
    x = 386.92

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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.