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Finding the Fourth Proportional to 653.42, 899.90 and 651.44

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Solution

The fourth proportional to 653.42, 899.90 and 651.44 is: 897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.42 : 899.90 = 651.44 : x
  2. Step 2: Convert to fraction form
    653.42/899.90 = 651.44/x
  3. Step 3: Cross multiply
    653.42x = 899.90 × 651.44
  4. Step 4: Simplify right side
    653.42x = 586,230.86
  5. Step 5: Solve for x
    x = 586,230.86/653.42
  6. Step 6: Final answer
    x = 897.17

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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.