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Finding the Fourth Proportional to 785.03, 1,176.55 and 459.59

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Solution

The fourth proportional to 785.03, 1,176.55 and 459.59 is: 688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.03 : 1,176.55 = 459.59 : x
  2. Step 2: Convert to fraction form
    785.03/1,176.55 = 459.59/x
  3. Step 3: Cross multiply
    785.03x = 1,176.55 × 459.59
  4. Step 4: Simplify right side
    785.03x = 540,723.58
  5. Step 5: Solve for x
    x = 540,723.58/785.03
  6. Step 6: Final answer
    x = 688.80

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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.