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Finding the Fourth Proportional to 783.16, 1,175.86 and 489.80

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Solution

The fourth proportional to 783.16, 1,175.86 and 489.80 is: 735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.16 : 1,175.86 = 489.80 : x
  2. Step 2: Convert to fraction form
    783.16/1,175.86 = 489.80/x
  3. Step 3: Cross multiply
    783.16x = 1,175.86 × 489.80
  4. Step 4: Simplify right side
    783.16x = 575,936.23
  5. Step 5: Solve for x
    x = 575,936.23/783.16
  6. Step 6: Final answer
    x = 735.40

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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.