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Finding the Fourth Proportional to 458.64, 690.66 and 386.15

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Solution

The fourth proportional to 458.64, 690.66 and 386.15 is: 581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.64 : 690.66 = 386.15 : x
  2. Step 2: Convert to fraction form
    458.64/690.66 = 386.15/x
  3. Step 3: Cross multiply
    458.64x = 690.66 × 386.15
  4. Step 4: Simplify right side
    458.64x = 266,694.91
  5. Step 5: Solve for x
    x = 266,694.91/458.64
  6. Step 6: Final answer
    x = 581.49

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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.