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Finding the Fourth Proportional to 1,178.95, 1,768.88 and 357.23

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Solution

The fourth proportional to 1,178.95, 1,768.88 and 357.23 is: 535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.95 : 1,768.88 = 357.23 : x
  2. Step 2: Convert to fraction form
    1,178.95/1,768.88 = 357.23/x
  3. Step 3: Cross multiply
    1,178.95x = 1,768.88 × 357.23
  4. Step 4: Simplify right side
    1,178.95x = 631,902.76
  5. Step 5: Solve for x
    x = 631,902.76/1,178.95
  6. Step 6: Final answer
    x = 535.99

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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.