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Finding the Fourth Proportional to 585.31, 882.37 and 545.67

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Solution

The fourth proportional to 585.31, 882.37 and 545.67 is: 822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.31 : 882.37 = 545.67 : x
  2. Step 2: Convert to fraction form
    585.31/882.37 = 545.67/x
  3. Step 3: Cross multiply
    585.31x = 882.37 × 545.67
  4. Step 4: Simplify right side
    585.31x = 481,482.84
  5. Step 5: Solve for x
    x = 481,482.84/585.31
  6. Step 6: Final answer
    x = 822.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.