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Finding the Fourth Proportional to 632.94, 947.67 and 358.62

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Solution

The fourth proportional to 632.94, 947.67 and 358.62 is: 536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.94 : 947.67 = 358.62 : x
  2. Step 2: Convert to fraction form
    632.94/947.67 = 358.62/x
  3. Step 3: Cross multiply
    632.94x = 947.67 × 358.62
  4. Step 4: Simplify right side
    632.94x = 339,853.42
  5. Step 5: Solve for x
    x = 339,853.42/632.94
  6. Step 6: Final answer
    x = 536.94

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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.