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Finding the Fourth Proportional to 785.04, 1,177.34 and 316.51

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Solution

The fourth proportional to 785.04, 1,177.34 and 316.51 is: 474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.04 : 1,177.34 = 316.51 : x
  2. Step 2: Convert to fraction form
    785.04/1,177.34 = 316.51/x
  3. Step 3: Cross multiply
    785.04x = 1,177.34 × 316.51
  4. Step 4: Simplify right side
    785.04x = 372,639.88
  5. Step 5: Solve for x
    x = 372,639.88/785.04
  6. Step 6: Final answer
    x = 474.68

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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.