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Finding the Fourth Proportional to 588.76, 811.64 and 448.64

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Solution

The fourth proportional to 588.76, 811.64 and 448.64 is: 618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.76 : 811.64 = 448.64 : x
  2. Step 2: Convert to fraction form
    588.76/811.64 = 448.64/x
  3. Step 3: Cross multiply
    588.76x = 811.64 × 448.64
  4. Step 4: Simplify right side
    588.76x = 364,134.17
  5. Step 5: Solve for x
    x = 364,134.17/588.76
  6. Step 6: Final answer
    x = 618.48

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Find fourth proportional to 294.38, 405.82 and 224.32
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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.