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Finding the Fourth Proportional to 669.41, 999 and 596.51

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Solution

The fourth proportional to 669.41, 999 and 596.51 is: 890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.41 : 999 = 596.51 : x
  2. Step 2: Convert to fraction form
    669.41/999 = 596.51/x
  3. Step 3: Cross multiply
    669.41x = 999 × 596.51
  4. Step 4: Simplify right side
    669.41x = 595,913.49
  5. Step 5: Solve for x
    x = 595,913.49/669.41
  6. Step 6: Final answer
    x = 890.21

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Half scale
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Double scale
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1.5x scale

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.