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Finding the Fourth Proportional to 653.56, 980.22 and 421.72

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Solution

The fourth proportional to 653.56, 980.22 and 421.72 is: 632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.56 : 980.22 = 421.72 : x
  2. Step 2: Convert to fraction form
    653.56/980.22 = 421.72/x
  3. Step 3: Cross multiply
    653.56x = 980.22 × 421.72
  4. Step 4: Simplify right side
    653.56x = 413,378.38
  5. Step 5: Solve for x
    x = 413,378.38/653.56
  6. Step 6: Final answer
    x = 632.50

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.