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Finding the Fourth Proportional to 556.82, 833.47 and 312.60

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Solution

The fourth proportional to 556.82, 833.47 and 312.60 is: 467.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.82 : 833.47 = 312.60 : x
  2. Step 2: Convert to fraction form
    556.82/833.47 = 312.60/x
  3. Step 3: Cross multiply
    556.82x = 833.47 × 312.60
  4. Step 4: Simplify right side
    556.82x = 260,541.94
  5. Step 5: Solve for x
    x = 260,541.94/556.82
  6. Step 6: Final answer
    x = 467.91

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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.