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Finding the Fourth Proportional to 783.51, 1,175.30 and 506.02

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Solution

The fourth proportional to 783.51, 1,175.30 and 506.02 is: 759.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.51 : 1,175.30 = 506.02 : x
  2. Step 2: Convert to fraction form
    783.51/1,175.30 = 506.02/x
  3. Step 3: Cross multiply
    783.51x = 1,175.30 × 506.02
  4. Step 4: Simplify right side
    783.51x = 594,716.90
  5. Step 5: Solve for x
    x = 594,716.90/783.51
  6. Step 6: Final answer
    x = 759.04

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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.