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Finding the Fourth Proportional to 784.84, 1,177.26 and 346.23

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Solution

The fourth proportional to 784.84, 1,177.26 and 346.23 is: 519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.84 : 1,177.26 = 346.23 : x
  2. Step 2: Convert to fraction form
    784.84/1,177.26 = 346.23/x
  3. Step 3: Cross multiply
    784.84x = 1,177.26 × 346.23
  4. Step 4: Simplify right side
    784.84x = 407,602.73
  5. Step 5: Solve for x
    x = 407,602.73/784.84
  6. Step 6: Final answer
    x = 519.35

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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.