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Finding the Fourth Proportional to 633.15, 947.90 and 358.76

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Solution

The fourth proportional to 633.15, 947.90 and 358.76 is: 537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.15 : 947.90 = 358.76 : x
  2. Step 2: Convert to fraction form
    633.15/947.90 = 358.76/x
  3. Step 3: Cross multiply
    633.15x = 947.90 × 358.76
  4. Step 4: Simplify right side
    633.15x = 340,071.87
  5. Step 5: Solve for x
    x = 340,071.87/633.15
  6. Step 6: Final answer
    x = 537.11

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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.