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Finding the Fourth Proportional to 707.32, 1,060.09 and 360.13

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Solution

The fourth proportional to 707.32, 1,060.09 and 360.13 is: 539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.32 : 1,060.09 = 360.13 : x
  2. Step 2: Convert to fraction form
    707.32/1,060.09 = 360.13/x
  3. Step 3: Cross multiply
    707.32x = 1,060.09 × 360.13
  4. Step 4: Simplify right side
    707.32x = 381,770.21
  5. Step 5: Solve for x
    x = 381,770.21/707.32
  6. Step 6: Final answer
    x = 539.74

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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.