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Finding the Fourth Proportional to 570.84, 851.56 and 531.56

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Solution

The fourth proportional to 570.84, 851.56 and 531.56 is: 792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.84 : 851.56 = 531.56 : x
  2. Step 2: Convert to fraction form
    570.84/851.56 = 531.56/x
  3. Step 3: Cross multiply
    570.84x = 851.56 × 531.56
  4. Step 4: Simplify right side
    570.84x = 452,655.23
  5. Step 5: Solve for x
    x = 452,655.23/570.84
  6. Step 6: Final answer
    x = 792.96

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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.