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Finding the Fourth Proportional to 1,025.70, 1,416.18 and 694.41

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Solution

The fourth proportional to 1,025.70, 1,416.18 and 694.41 is: 958.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.70 : 1,416.18 = 694.41 : x
  2. Step 2: Convert to fraction form
    1,025.70/1,416.18 = 694.41/x
  3. Step 3: Cross multiply
    1,025.70x = 1,416.18 × 694.41
  4. Step 4: Simplify right side
    1,025.70x = 983,409.55
  5. Step 5: Solve for x
    x = 983,409.55/1,025.70
  6. Step 6: Final answer
    x = 958.77

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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.