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Finding the Fourth Proportional to 1,177.27, 1,624.64 and 653.34

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Solution

The fourth proportional to 1,177.27, 1,624.64 and 653.34 is: 901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.27 : 1,624.64 = 653.34 : x
  2. Step 2: Convert to fraction form
    1,177.27/1,624.64 = 653.34/x
  3. Step 3: Cross multiply
    1,177.27x = 1,624.64 × 653.34
  4. Step 4: Simplify right side
    1,177.27x = 1,061,435.81
  5. Step 5: Solve for x
    x = 1,061,435.81/1,177.27
  6. Step 6: Final answer
    x = 901.61

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1.5x scale

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.