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Finding the Fourth Proportional to 659.08, 989.70 and 578.60

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Solution

The fourth proportional to 659.08, 989.70 and 578.60 is: 868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.08 : 989.70 = 578.60 : x
  2. Step 2: Convert to fraction form
    659.08/989.70 = 578.60/x
  3. Step 3: Cross multiply
    659.08x = 989.70 × 578.60
  4. Step 4: Simplify right side
    659.08x = 572,640.42
  5. Step 5: Solve for x
    x = 572,640.42/659.08
  6. Step 6: Final answer
    x = 868.85

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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.