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Finding the Fourth Proportional to 719.52, 990.76 and 646.62

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Solution

The fourth proportional to 719.52, 990.76 and 646.62 is: 890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.52 : 990.76 = 646.62 : x
  2. Step 2: Convert to fraction form
    719.52/990.76 = 646.62/x
  3. Step 3: Cross multiply
    719.52x = 990.76 × 646.62
  4. Step 4: Simplify right side
    719.52x = 640,645.23
  5. Step 5: Solve for x
    x = 640,645.23/719.52
  6. Step 6: Final answer
    x = 890.38

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Half scale
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Double scale
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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.