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Finding the Fourth Proportional to 1,176.81, 1,624.07 and 711.21

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Solution

The fourth proportional to 1,176.81, 1,624.07 and 711.21 is: 981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.81 : 1,624.07 = 711.21 : x
  2. Step 2: Convert to fraction form
    1,176.81/1,624.07 = 711.21/x
  3. Step 3: Cross multiply
    1,176.81x = 1,624.07 × 711.21
  4. Step 4: Simplify right side
    1,176.81x = 1,155,054.82
  5. Step 5: Solve for x
    x = 1,155,054.82/1,176.81
  6. Step 6: Final answer
    x = 981.51

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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.