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Finding the Fourth Proportional to 802.96, 1,107.40 and 616.90

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Solution

The fourth proportional to 802.96, 1,107.40 and 616.90 is: 850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.96 : 1,107.40 = 616.90 : x
  2. Step 2: Convert to fraction form
    802.96/1,107.40 = 616.90/x
  3. Step 3: Cross multiply
    802.96x = 1,107.40 × 616.90
  4. Step 4: Simplify right side
    802.96x = 683,155.06
  5. Step 5: Solve for x
    x = 683,155.06/802.96
  6. Step 6: Final answer
    x = 850.80

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1.5x scale

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.