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Finding the Fourth Proportional to 458.56, 687.75 and 435.47

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Solution

The fourth proportional to 458.56, 687.75 and 435.47 is: 653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.56 : 687.75 = 435.47 : x
  2. Step 2: Convert to fraction form
    458.56/687.75 = 435.47/x
  3. Step 3: Cross multiply
    458.56x = 687.75 × 435.47
  4. Step 4: Simplify right side
    458.56x = 299,494.49
  5. Step 5: Solve for x
    x = 299,494.49/458.56
  6. Step 6: Final answer
    x = 653.12

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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.