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Finding the Fourth Proportional to 783.76, 1,175.64 and 459.22

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Solution

The fourth proportional to 783.76, 1,175.64 and 459.22 is: 688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.76 : 1,175.64 = 459.22 : x
  2. Step 2: Convert to fraction form
    783.76/1,175.64 = 459.22/x
  3. Step 3: Cross multiply
    783.76x = 1,175.64 × 459.22
  4. Step 4: Simplify right side
    783.76x = 539,877.40
  5. Step 5: Solve for x
    x = 539,877.40/783.76
  6. Step 6: Final answer
    x = 688.83

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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.