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Finding the Fourth Proportional to 784.36, 1,176.56 and 207.24

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Solution

The fourth proportional to 784.36, 1,176.56 and 207.24 is: 310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.36 : 1,176.56 = 207.24 : x
  2. Step 2: Convert to fraction form
    784.36/1,176.56 = 207.24/x
  3. Step 3: Cross multiply
    784.36x = 1,176.56 × 207.24
  4. Step 4: Simplify right side
    784.36x = 243,830.29
  5. Step 5: Solve for x
    x = 243,830.29/784.36
  6. Step 6: Final answer
    x = 310.87

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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.