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Finding the Fourth Proportional to 719.60, 1,073.64 and 641.64

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Solution

The fourth proportional to 719.60, 1,073.64 and 641.64 is: 957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.60 : 1,073.64 = 641.64 : x
  2. Step 2: Convert to fraction form
    719.60/1,073.64 = 641.64/x
  3. Step 3: Cross multiply
    719.60x = 1,073.64 × 641.64
  4. Step 4: Simplify right side
    719.60x = 688,890.37
  5. Step 5: Solve for x
    x = 688,890.37/719.60
  6. Step 6: Final answer
    x = 957.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.