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Finding the Fourth Proportional to 784.48, 1,176.48 and 207.28

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Solution

The fourth proportional to 784.48, 1,176.48 and 207.28 is: 310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.48 : 1,176.48 = 207.28 : x
  2. Step 2: Convert to fraction form
    784.48/1,176.48 = 207.28/x
  3. Step 3: Cross multiply
    784.48x = 1,176.48 × 207.28
  4. Step 4: Simplify right side
    784.48x = 243,860.77
  5. Step 5: Solve for x
    x = 243,860.77/784.48
  6. Step 6: Final answer
    x = 310.86

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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.