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Finding the Fourth Proportional to 785.23, 1,177.76 and 476.98

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Solution

The fourth proportional to 785.23, 1,177.76 and 476.98 is: 715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.23 : 1,177.76 = 476.98 : x
  2. Step 2: Convert to fraction form
    785.23/1,177.76 = 476.98/x
  3. Step 3: Cross multiply
    785.23x = 1,177.76 × 476.98
  4. Step 4: Simplify right side
    785.23x = 561,766.21
  5. Step 5: Solve for x
    x = 561,766.21/785.23
  6. Step 6: Final answer
    x = 715.42

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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.