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Finding the Fourth Proportional to 699.78, 966.15 and 569.10

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Solution

The fourth proportional to 699.78, 966.15 and 569.10 is: 785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.78 : 966.15 = 569.10 : x
  2. Step 2: Convert to fraction form
    699.78/966.15 = 569.10/x
  3. Step 3: Cross multiply
    699.78x = 966.15 × 569.10
  4. Step 4: Simplify right side
    699.78x = 549,835.97
  5. Step 5: Solve for x
    x = 549,835.97/699.78
  6. Step 6: Final answer
    x = 785.73

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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.