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Finding the Fourth Proportional to 458.76, 688.95 and 276.51

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Solution

The fourth proportional to 458.76, 688.95 and 276.51 is: 415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.76 : 688.95 = 276.51 : x
  2. Step 2: Convert to fraction form
    458.76/688.95 = 276.51/x
  3. Step 3: Cross multiply
    458.76x = 688.95 × 276.51
  4. Step 4: Simplify right side
    458.76x = 190,501.56
  5. Step 5: Solve for x
    x = 190,501.56/458.76
  6. Step 6: Final answer
    x = 415.25

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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.