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Finding the Fourth Proportional to 646.99, 970.58 and 214.25

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Solution

The fourth proportional to 646.99, 970.58 and 214.25 is: 321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.99 : 970.58 = 214.25 : x
  2. Step 2: Convert to fraction form
    646.99/970.58 = 214.25/x
  3. Step 3: Cross multiply
    646.99x = 970.58 × 214.25
  4. Step 4: Simplify right side
    646.99x = 207,942.45
  5. Step 5: Solve for x
    x = 207,942.45/646.99
  6. Step 6: Final answer
    x = 321.40

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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.