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Finding the Fourth Proportional to 569.00, 852.71 and 452.93

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Solution

The fourth proportional to 569.00, 852.71 and 452.93 is: 678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.00 : 852.71 = 452.93 : x
  2. Step 2: Convert to fraction form
    569.00/852.71 = 452.93/x
  3. Step 3: Cross multiply
    569.00x = 852.71 × 452.93
  4. Step 4: Simplify right side
    569.00x = 386,217.81
  5. Step 5: Solve for x
    x = 386,217.81/569.00
  6. Step 6: Final answer
    x = 678.76

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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.