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Finding the Fourth Proportional to 699.68, 966.40 and 569.20

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Solution

The fourth proportional to 699.68, 966.40 and 569.20 is: 786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.68 : 966.40 = 569.20 : x
  2. Step 2: Convert to fraction form
    699.68/966.40 = 569.20/x
  3. Step 3: Cross multiply
    699.68x = 966.40 × 569.20
  4. Step 4: Simplify right side
    699.68x = 550,074.88
  5. Step 5: Solve for x
    x = 550,074.88/699.68
  6. Step 6: Final answer
    x = 786.18

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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.