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Finding the Fourth Proportional to 653.67, 977.67 and 437.40

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Solution

The fourth proportional to 653.67, 977.67 and 437.40 is: 654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.67 : 977.67 = 437.40 : x
  2. Step 2: Convert to fraction form
    653.67/977.67 = 437.40/x
  3. Step 3: Cross multiply
    653.67x = 977.67 × 437.40
  4. Step 4: Simplify right side
    653.67x = 427,632.86
  5. Step 5: Solve for x
    x = 427,632.86/653.67
  6. Step 6: Final answer
    x = 654.20

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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.