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Finding the Fourth Proportional to 699.79, 965.65 and 412.29

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Solution

The fourth proportional to 699.79, 965.65 and 412.29 is: 568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.79 : 965.65 = 412.29 : x
  2. Step 2: Convert to fraction form
    699.79/965.65 = 412.29/x
  3. Step 3: Cross multiply
    699.79x = 965.65 × 412.29
  4. Step 4: Simplify right side
    699.79x = 398,125.78
  5. Step 5: Solve for x
    x = 398,125.78/699.79
  6. Step 6: Final answer
    x = 568.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.