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Finding the Fourth Proportional to 707.64, 1,062.12 and 361.23

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Solution

The fourth proportional to 707.64, 1,062.12 and 361.23 is: 542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.64 : 1,062.12 = 361.23 : x
  2. Step 2: Convert to fraction form
    707.64/1,062.12 = 361.23/x
  3. Step 3: Cross multiply
    707.64x = 1,062.12 × 361.23
  4. Step 4: Simplify right side
    707.64x = 383,674.92
  5. Step 5: Solve for x
    x = 383,674.92/707.64
  6. Step 6: Final answer
    x = 542.19

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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.