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Finding the Fourth Proportional to 494.47, 740.54 and 391.06

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Solution

The fourth proportional to 494.47, 740.54 and 391.06 is: 585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.47 : 740.54 = 391.06 : x
  2. Step 2: Convert to fraction form
    494.47/740.54 = 391.06/x
  3. Step 3: Cross multiply
    494.47x = 740.54 × 391.06
  4. Step 4: Simplify right side
    494.47x = 289,595.57
  5. Step 5: Solve for x
    x = 289,595.57/494.47
  6. Step 6: Final answer
    x = 585.67

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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.