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Finding the Fourth Proportional to 569.59, 854.38 and 314.71

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Solution

The fourth proportional to 569.59, 854.38 and 314.71 is: 472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.59 : 854.38 = 314.71 : x
  2. Step 2: Convert to fraction form
    569.59/854.38 = 314.71/x
  3. Step 3: Cross multiply
    569.59x = 854.38 × 314.71
  4. Step 4: Simplify right side
    569.59x = 268,877.66
  5. Step 5: Solve for x
    x = 268,877.66/569.59
  6. Step 6: Final answer
    x = 472.06

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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.