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Finding the Fourth Proportional to 653.74, 900.05 and 529.81

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Solution

The fourth proportional to 653.74, 900.05 and 529.81 is: 729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.74 : 900.05 = 529.81 : x
  2. Step 2: Convert to fraction form
    653.74/900.05 = 529.81/x
  3. Step 3: Cross multiply
    653.74x = 900.05 × 529.81
  4. Step 4: Simplify right side
    653.74x = 476,850.59
  5. Step 5: Solve for x
    x = 476,850.59/653.74
  6. Step 6: Final answer
    x = 729.42

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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.