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Finding the Fourth Proportional to 783.57, 1,080.88 and 690.54

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Solution

The fourth proportional to 783.57, 1,080.88 and 690.54 is: 952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.57 : 1,080.88 = 690.54 : x
  2. Step 2: Convert to fraction form
    783.57/1,080.88 = 690.54/x
  3. Step 3: Cross multiply
    783.57x = 1,080.88 × 690.54
  4. Step 4: Simplify right side
    783.57x = 746,391.18
  5. Step 5: Solve for x
    x = 746,391.18/783.57
  6. Step 6: Final answer
    x = 952.55

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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.