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Finding the Fourth Proportional to 784.10, 1,174.33 and 459.70

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Solution

The fourth proportional to 784.10, 1,174.33 and 459.70 is: 688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.10 : 1,174.33 = 459.70 : x
  2. Step 2: Convert to fraction form
    784.10/1,174.33 = 459.70/x
  3. Step 3: Cross multiply
    784.10x = 1,174.33 × 459.70
  4. Step 4: Simplify right side
    784.10x = 539,833.63
  5. Step 5: Solve for x
    x = 539,833.63/784.10
  6. Step 6: Final answer
    x = 688.48

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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.