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Finding the Fourth Proportional to 707.11, 1,060.92 and 317.08

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Solution

The fourth proportional to 707.11, 1,060.92 and 317.08 is: 475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.11 : 1,060.92 = 317.08 : x
  2. Step 2: Convert to fraction form
    707.11/1,060.92 = 317.08/x
  3. Step 3: Cross multiply
    707.11x = 1,060.92 × 317.08
  4. Step 4: Simplify right side
    707.11x = 336,396.51
  5. Step 5: Solve for x
    x = 336,396.51/707.11
  6. Step 6: Final answer
    x = 475.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.