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Finding the Fourth Proportional to 719.66, 1,073.71 and 641.70

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Solution

The fourth proportional to 719.66, 1,073.71 and 641.70 is: 957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.66 : 1,073.71 = 641.70 : x
  2. Step 2: Convert to fraction form
    719.66/1,073.71 = 641.70/x
  3. Step 3: Cross multiply
    719.66x = 1,073.71 × 641.70
  4. Step 4: Simplify right side
    719.66x = 688,999.71
  5. Step 5: Solve for x
    x = 688,999.71/719.66
  6. Step 6: Final answer
    x = 957.40

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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.