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Finding the Fourth Proportional to 802.95, 1,108.56 and 616.08

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Solution

The fourth proportional to 802.95, 1,108.56 and 616.08 is: 850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.95 : 1,108.56 = 616.08 : x
  2. Step 2: Convert to fraction form
    802.95/1,108.56 = 616.08/x
  3. Step 3: Cross multiply
    802.95x = 1,108.56 × 616.08
  4. Step 4: Simplify right side
    802.95x = 682,961.64
  5. Step 5: Solve for x
    x = 682,961.64/802.95
  6. Step 6: Final answer
    x = 850.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.