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Finding the Fourth Proportional to 785.42, 1,177.90 and 316.89

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Solution

The fourth proportional to 785.42, 1,177.90 and 316.89 is: 475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.42 : 1,177.90 = 316.89 : x
  2. Step 2: Convert to fraction form
    785.42/1,177.90 = 316.89/x
  3. Step 3: Cross multiply
    785.42x = 1,177.90 × 316.89
  4. Step 4: Simplify right side
    785.42x = 373,264.73
  5. Step 5: Solve for x
    x = 373,264.73/785.42
  6. Step 6: Final answer
    x = 475.24

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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.