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Finding the Fourth Proportional to 658.45, 912.58 and 646.15

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Solution

The fourth proportional to 658.45, 912.58 and 646.15 is: 895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.45 : 912.58 = 646.15 : x
  2. Step 2: Convert to fraction form
    658.45/912.58 = 646.15/x
  3. Step 3: Cross multiply
    658.45x = 912.58 × 646.15
  4. Step 4: Simplify right side
    658.45x = 589,659.00
  5. Step 5: Solve for x
    x = 589,659.00/658.45
  6. Step 6: Final answer
    x = 895.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.