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Finding the Fourth Proportional to 783.67, 1,175.16 and 315

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Solution

The fourth proportional to 783.67, 1,175.16 and 315 is: 472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.67 : 1,175.16 = 315 : x
  2. Step 2: Convert to fraction form
    783.67/1,175.16 = 315/x
  3. Step 3: Cross multiply
    783.67x = 1,175.16 × 315
  4. Step 4: Simplify right side
    783.67x = 370,175.40
  5. Step 5: Solve for x
    x = 370,175.40/783.67
  6. Step 6: Final answer
    x = 472.36

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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.