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Finding the Fourth Proportional to 660.58, 899.38 and 658.52

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Solution

The fourth proportional to 660.58, 899.38 and 658.52 is: 896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.58 : 899.38 = 658.52 : x
  2. Step 2: Convert to fraction form
    660.58/899.38 = 658.52/x
  3. Step 3: Cross multiply
    660.58x = 899.38 × 658.52
  4. Step 4: Simplify right side
    660.58x = 592,259.72
  5. Step 5: Solve for x
    x = 592,259.72/660.58
  6. Step 6: Final answer
    x = 896.58

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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.