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Finding the Fourth Proportional to 458.49, 685.13 and 348.20

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Solution

The fourth proportional to 458.49, 685.13 and 348.20 is: 520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.49 : 685.13 = 348.20 : x
  2. Step 2: Convert to fraction form
    458.49/685.13 = 348.20/x
  3. Step 3: Cross multiply
    458.49x = 685.13 × 348.20
  4. Step 4: Simplify right side
    458.49x = 238,559.67
  5. Step 5: Solve for x
    x = 238,559.67/458.49
  6. Step 6: Final answer
    x = 520.31

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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.