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Finding the Fourth Proportional to 788.12, 1,178.94 and 603.48

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Solution

The fourth proportional to 788.12, 1,178.94 and 603.48 is: 902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.12 : 1,178.94 = 603.48 : x
  2. Step 2: Convert to fraction form
    788.12/1,178.94 = 603.48/x
  3. Step 3: Cross multiply
    788.12x = 1,178.94 × 603.48
  4. Step 4: Simplify right side
    788.12x = 711,466.71
  5. Step 5: Solve for x
    x = 711,466.71/788.12
  6. Step 6: Final answer
    x = 902.74

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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.