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Finding the Fourth Proportional to 569.12, 852.73 and 464.45

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Solution

The fourth proportional to 569.12, 852.73 and 464.45 is: 695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.12 : 852.73 = 464.45 : x
  2. Step 2: Convert to fraction form
    569.12/852.73 = 464.45/x
  3. Step 3: Cross multiply
    569.12x = 852.73 × 464.45
  4. Step 4: Simplify right side
    569.12x = 396,045.02
  5. Step 5: Solve for x
    x = 396,045.02/569.12
  6. Step 6: Final answer
    x = 695.90

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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.