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Finding the Fourth Proportional to 784.45, 1,176.72 and 207.32

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Solution

The fourth proportional to 784.45, 1,176.72 and 207.32 is: 310.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.45 : 1,176.72 = 207.32 : x
  2. Step 2: Convert to fraction form
    784.45/1,176.72 = 207.32/x
  3. Step 3: Cross multiply
    784.45x = 1,176.72 × 207.32
  4. Step 4: Simplify right side
    784.45x = 243,957.59
  5. Step 5: Solve for x
    x = 243,957.59/784.45
  6. Step 6: Final answer
    x = 310.99

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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.