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Finding the Fourth Proportional to 621.59, 931.77 and 256.58

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Solution

The fourth proportional to 621.59, 931.77 and 256.58 is: 384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.59 : 931.77 = 256.58 : x
  2. Step 2: Convert to fraction form
    621.59/931.77 = 256.58/x
  3. Step 3: Cross multiply
    621.59x = 931.77 × 256.58
  4. Step 4: Simplify right side
    621.59x = 239,077.62
  5. Step 5: Solve for x
    x = 239,077.62/621.59
  6. Step 6: Final answer
    x = 384.62

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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.