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Finding the Fourth Proportional to 975.96, 1,461.64 and 646.68

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Solution

The fourth proportional to 975.96, 1,461.64 and 646.68 is: 968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.96 : 1,461.64 = 646.68 : x
  2. Step 2: Convert to fraction form
    975.96/1,461.64 = 646.68/x
  3. Step 3: Cross multiply
    975.96x = 1,461.64 × 646.68
  4. Step 4: Simplify right side
    975.96x = 945,213.36
  5. Step 5: Solve for x
    x = 945,213.36/975.96
  6. Step 6: Final answer
    x = 968.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.