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Finding the Fourth Proportional to 569.49, 854.35 and 295.51

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Solution

The fourth proportional to 569.49, 854.35 and 295.51 is: 443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.49 : 854.35 = 295.51 : x
  2. Step 2: Convert to fraction form
    569.49/854.35 = 295.51/x
  3. Step 3: Cross multiply
    569.49x = 854.35 × 295.51
  4. Step 4: Simplify right side
    569.49x = 252,466.09
  5. Step 5: Solve for x
    x = 252,466.09/569.49
  6. Step 6: Final answer
    x = 443.32

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1.5x scale

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.