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Finding the Fourth Proportional to 569.95, 854.10 and 453.87

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Solution

The fourth proportional to 569.95, 854.10 and 453.87 is: 680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.95 : 854.10 = 453.87 : x
  2. Step 2: Convert to fraction form
    569.95/854.10 = 453.87/x
  3. Step 3: Cross multiply
    569.95x = 854.10 × 453.87
  4. Step 4: Simplify right side
    569.95x = 387,650.37
  5. Step 5: Solve for x
    x = 387,650.37/569.95
  6. Step 6: Final answer
    x = 680.15

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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.