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Finding the Fourth Proportional to 776.23, 1,071.33 and 477.65

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Solution

The fourth proportional to 776.23, 1,071.33 and 477.65 is: 659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.23 : 1,071.33 = 477.65 : x
  2. Step 2: Convert to fraction form
    776.23/1,071.33 = 477.65/x
  3. Step 3: Cross multiply
    776.23x = 1,071.33 × 477.65
  4. Step 4: Simplify right side
    776.23x = 511,715.64
  5. Step 5: Solve for x
    x = 511,715.64/776.23
  6. Step 6: Final answer
    x = 659.23

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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.