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Finding the Fourth Proportional to 458.34, 690.96 and 427.02

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Solution

The fourth proportional to 458.34, 690.96 and 427.02 is: 643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.34 : 690.96 = 427.02 : x
  2. Step 2: Convert to fraction form
    458.34/690.96 = 427.02/x
  3. Step 3: Cross multiply
    458.34x = 690.96 × 427.02
  4. Step 4: Simplify right side
    458.34x = 295,053.74
  5. Step 5: Solve for x
    x = 295,053.74/458.34
  6. Step 6: Final answer
    x = 643.74

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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.