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Finding the Fourth Proportional to 458.77, 633.15 and 284.14

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Solution

The fourth proportional to 458.77, 633.15 and 284.14 is: 392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.77 : 633.15 = 284.14 : x
  2. Step 2: Convert to fraction form
    458.77/633.15 = 284.14/x
  3. Step 3: Cross multiply
    458.77x = 633.15 × 284.14
  4. Step 4: Simplify right side
    458.77x = 179,903.24
  5. Step 5: Solve for x
    x = 179,903.24/458.77
  6. Step 6: Final answer
    x = 392.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.