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Finding the Fourth Proportional to 1,168.34, 1,610.98 and 957.85

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Solution

The fourth proportional to 1,168.34, 1,610.98 and 957.85 is: 1,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.34 : 1,610.98 = 957.85 : x
  2. Step 2: Convert to fraction form
    1,168.34/1,610.98 = 957.85/x
  3. Step 3: Cross multiply
    1,168.34x = 1,610.98 × 957.85
  4. Step 4: Simplify right side
    1,168.34x = 1,543,070.77
  5. Step 5: Solve for x
    x = 1,543,070.77/1,168.34
  6. Step 6: Final answer
    x = 1,320.74

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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.