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Finding the Fourth Proportional to 570.59, 854.02 and 309.94

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Solution

The fourth proportional to 570.59, 854.02 and 309.94 is: 463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.59 : 854.02 = 309.94 : x
  2. Step 2: Convert to fraction form
    570.59/854.02 = 309.94/x
  3. Step 3: Cross multiply
    570.59x = 854.02 × 309.94
  4. Step 4: Simplify right side
    570.59x = 264,693.54
  5. Step 5: Solve for x
    x = 264,693.54/570.59
  6. Step 6: Final answer
    x = 463.90

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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.