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Finding the Fourth Proportional to 632.72, 947.87 and 358.00

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Solution

The fourth proportional to 632.72, 947.87 and 358.00 is: 536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.72 : 947.87 = 358.00 : x
  2. Step 2: Convert to fraction form
    632.72/947.87 = 358.00/x
  3. Step 3: Cross multiply
    632.72x = 947.87 × 358.00
  4. Step 4: Simplify right side
    632.72x = 339,334.64
  5. Step 5: Solve for x
    x = 339,334.64/632.72
  6. Step 6: Final answer
    x = 536.31

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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.