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Finding the Fourth Proportional to 707.26, 1,060.91 and 399.06

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Solution

The fourth proportional to 707.26, 1,060.91 and 399.06 is: 598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.26 : 1,060.91 = 399.06 : x
  2. Step 2: Convert to fraction form
    707.26/1,060.91 = 399.06/x
  3. Step 3: Cross multiply
    707.26x = 1,060.91 × 399.06
  4. Step 4: Simplify right side
    707.26x = 423,366.74
  5. Step 5: Solve for x
    x = 423,366.74/707.26
  6. Step 6: Final answer
    x = 598.60

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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.