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Finding the Fourth Proportional to 785.68, 1,177.14 and 525.04

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Solution

The fourth proportional to 785.68, 1,177.14 and 525.04 is: 786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.68 : 1,177.14 = 525.04 : x
  2. Step 2: Convert to fraction form
    785.68/1,177.14 = 525.04/x
  3. Step 3: Cross multiply
    785.68x = 1,177.14 × 525.04
  4. Step 4: Simplify right side
    785.68x = 618,045.59
  5. Step 5: Solve for x
    x = 618,045.59/785.68
  6. Step 6: Final answer
    x = 786.64

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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.