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Finding the Fourth Proportional to 783.38, 1,080.21 and 775.48

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Solution

The fourth proportional to 783.38, 1,080.21 and 775.48 is: 1,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.38 : 1,080.21 = 775.48 : x
  2. Step 2: Convert to fraction form
    783.38/1,080.21 = 775.48/x
  3. Step 3: Cross multiply
    783.38x = 1,080.21 × 775.48
  4. Step 4: Simplify right side
    783.38x = 837,681.25
  5. Step 5: Solve for x
    x = 837,681.25/783.38
  6. Step 6: Final answer
    x = 1,069.32

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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.