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Finding the Fourth Proportional to 1,195.17, 1,649.32 and 697.78

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Solution

The fourth proportional to 1,195.17, 1,649.32 and 697.78 is: 962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.17 : 1,649.32 = 697.78 : x
  2. Step 2: Convert to fraction form
    1,195.17/1,649.32 = 697.78/x
  3. Step 3: Cross multiply
    1,195.17x = 1,649.32 × 697.78
  4. Step 4: Simplify right side
    1,195.17x = 1,150,862.51
  5. Step 5: Solve for x
    x = 1,150,862.51/1,195.17
  6. Step 6: Final answer
    x = 962.93

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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.