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Finding the Fourth Proportional to 658.42, 982.88 and 572.35

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Solution

The fourth proportional to 658.42, 982.88 and 572.35 is: 854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.42 : 982.88 = 572.35 : x
  2. Step 2: Convert to fraction form
    658.42/982.88 = 572.35/x
  3. Step 3: Cross multiply
    658.42x = 982.88 × 572.35
  4. Step 4: Simplify right side
    658.42x = 562,551.37
  5. Step 5: Solve for x
    x = 562,551.37/658.42
  6. Step 6: Final answer
    x = 854.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.