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Finding the Fourth Proportional to 660.08, 898.70 and 658.02

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Solution

The fourth proportional to 660.08, 898.70 and 658.02 is: 895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.08 : 898.70 = 658.02 : x
  2. Step 2: Convert to fraction form
    660.08/898.70 = 658.02/x
  3. Step 3: Cross multiply
    660.08x = 898.70 × 658.02
  4. Step 4: Simplify right side
    660.08x = 591,362.57
  5. Step 5: Solve for x
    x = 591,362.57/660.08
  6. Step 6: Final answer
    x = 895.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.