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Finding the Fourth Proportional to 784.50, 1,177.07 and 345.52

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Solution

The fourth proportional to 784.50, 1,177.07 and 345.52 is: 518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.50 : 1,177.07 = 345.52 : x
  2. Step 2: Convert to fraction form
    784.50/1,177.07 = 345.52/x
  3. Step 3: Cross multiply
    784.50x = 1,177.07 × 345.52
  4. Step 4: Simplify right side
    784.50x = 406,701.23
  5. Step 5: Solve for x
    x = 406,701.23/784.50
  6. Step 6: Final answer
    x = 518.42

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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.