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Finding the Fourth Proportional to 1,177.41, 1,624.68 and 653.31

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Solution

The fourth proportional to 1,177.41, 1,624.68 and 653.31 is: 901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.41 : 1,624.68 = 653.31 : x
  2. Step 2: Convert to fraction form
    1,177.41/1,624.68 = 653.31/x
  3. Step 3: Cross multiply
    1,177.41x = 1,624.68 × 653.31
  4. Step 4: Simplify right side
    1,177.41x = 1,061,419.69
  5. Step 5: Solve for x
    x = 1,061,419.69/1,177.41
  6. Step 6: Final answer
    x = 901.49

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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.