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Finding the Fourth Proportional to 458.10, 689.63 and 350.37

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Solution

The fourth proportional to 458.10, 689.63 and 350.37 is: 527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.10 : 689.63 = 350.37 : x
  2. Step 2: Convert to fraction form
    458.10/689.63 = 350.37/x
  3. Step 3: Cross multiply
    458.10x = 689.63 × 350.37
  4. Step 4: Simplify right side
    458.10x = 241,623.91
  5. Step 5: Solve for x
    x = 241,623.91/458.10
  6. Step 6: Final answer
    x = 527.45

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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.