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Finding the Fourth Proportional to 707.05, 1,061.12 and 475.39

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Solution

The fourth proportional to 707.05, 1,061.12 and 475.39 is: 713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.05 : 1,061.12 = 475.39 : x
  2. Step 2: Convert to fraction form
    707.05/1,061.12 = 475.39/x
  3. Step 3: Cross multiply
    707.05x = 1,061.12 × 475.39
  4. Step 4: Simplify right side
    707.05x = 504,445.84
  5. Step 5: Solve for x
    x = 504,445.84/707.05
  6. Step 6: Final answer
    x = 713.45

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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.