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Finding the Fourth Proportional to 653.76, 901.80 and 421.02

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Solution

The fourth proportional to 653.76, 901.80 and 421.02 is: 580.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.76 : 901.80 = 421.02 : x
  2. Step 2: Convert to fraction form
    653.76/901.80 = 421.02/x
  3. Step 3: Cross multiply
    653.76x = 901.80 × 421.02
  4. Step 4: Simplify right side
    653.76x = 379,675.84
  5. Step 5: Solve for x
    x = 379,675.84/653.76
  6. Step 6: Final answer
    x = 580.76

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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.