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Finding the Fourth Proportional to 675.58, 931.32 and 581.92

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Solution

The fourth proportional to 675.58, 931.32 and 581.92 is: 802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.58 : 931.32 = 581.92 : x
  2. Step 2: Convert to fraction form
    675.58/931.32 = 581.92/x
  3. Step 3: Cross multiply
    675.58x = 931.32 × 581.92
  4. Step 4: Simplify right side
    675.58x = 541,953.73
  5. Step 5: Solve for x
    x = 541,953.73/675.58
  6. Step 6: Final answer
    x = 802.21

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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.