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Finding the Fourth Proportional to 571.98, 854.49 and 364.90

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Solution

The fourth proportional to 571.98, 854.49 and 364.90 is: 545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.98 : 854.49 = 364.90 : x
  2. Step 2: Convert to fraction form
    571.98/854.49 = 364.90/x
  3. Step 3: Cross multiply
    571.98x = 854.49 × 364.90
  4. Step 4: Simplify right side
    571.98x = 311,803.40
  5. Step 5: Solve for x
    x = 311,803.40/571.98
  6. Step 6: Final answer
    x = 545.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.