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Finding the Fourth Proportional to 633.46, 947.82 and 556.06

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Solution

The fourth proportional to 633.46, 947.82 and 556.06 is: 832.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.46 : 947.82 = 556.06 : x
  2. Step 2: Convert to fraction form
    633.46/947.82 = 556.06/x
  3. Step 3: Cross multiply
    633.46x = 947.82 × 556.06
  4. Step 4: Simplify right side
    633.46x = 527,044.79
  5. Step 5: Solve for x
    x = 527,044.79/633.46
  6. Step 6: Final answer
    x = 832.01

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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.