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Finding the Fourth Proportional to 632.49, 947.86 and 358.84

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Solution

The fourth proportional to 632.49, 947.86 and 358.84 is: 537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.49 : 947.86 = 358.84 : x
  2. Step 2: Convert to fraction form
    632.49/947.86 = 358.84/x
  3. Step 3: Cross multiply
    632.49x = 947.86 × 358.84
  4. Step 4: Simplify right side
    632.49x = 340,130.08
  5. Step 5: Solve for x
    x = 340,130.08/632.49
  6. Step 6: Final answer
    x = 537.76

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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.