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Finding the Fourth Proportional to 970.14, 1,455.21 and 646.14

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Solution

The fourth proportional to 970.14, 1,455.21 and 646.14 is: 969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.14 : 1,455.21 = 646.14 : x
  2. Step 2: Convert to fraction form
    970.14/1,455.21 = 646.14/x
  3. Step 3: Cross multiply
    970.14x = 1,455.21 × 646.14
  4. Step 4: Simplify right side
    970.14x = 940,269.39
  5. Step 5: Solve for x
    x = 940,269.39/970.14
  6. Step 6: Final answer
    x = 969.21

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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.