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Finding the Fourth Proportional to 569.68, 854.64 and 281.08

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Solution

The fourth proportional to 569.68, 854.64 and 281.08 is: 421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.68 : 854.64 = 281.08 : x
  2. Step 2: Convert to fraction form
    569.68/854.64 = 281.08/x
  3. Step 3: Cross multiply
    569.68x = 854.64 × 281.08
  4. Step 4: Simplify right side
    569.68x = 240,222.21
  5. Step 5: Solve for x
    x = 240,222.21/569.68
  6. Step 6: Final answer
    x = 421.68

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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.