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Finding the Fourth Proportional to 785.47, 1,177.61 and 525.73

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Solution

The fourth proportional to 785.47, 1,177.61 and 525.73 is: 788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.47 : 1,177.61 = 525.73 : x
  2. Step 2: Convert to fraction form
    785.47/1,177.61 = 525.73/x
  3. Step 3: Cross multiply
    785.47x = 1,177.61 × 525.73
  4. Step 4: Simplify right side
    785.47x = 619,099.02
  5. Step 5: Solve for x
    x = 619,099.02/785.47
  6. Step 6: Final answer
    x = 788.19

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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.