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Finding the Fourth Proportional to 943.20, 1,298.70 and 783.90

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Solution

The fourth proportional to 943.20, 1,298.70 and 783.90 is: 1,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.20 : 1,298.70 = 783.90 : x
  2. Step 2: Convert to fraction form
    943.20/1,298.70 = 783.90/x
  3. Step 3: Cross multiply
    943.20x = 1,298.70 × 783.90
  4. Step 4: Simplify right side
    943.20x = 1,018,050.93
  5. Step 5: Solve for x
    x = 1,018,050.93/943.20
  6. Step 6: Final answer
    x = 1,079.36

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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.