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Finding the Fourth Proportional to 735.13, 1,007.14 and 707.45

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Solution

The fourth proportional to 735.13, 1,007.14 and 707.45 is: 969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.13 : 1,007.14 = 707.45 : x
  2. Step 2: Convert to fraction form
    735.13/1,007.14 = 707.45/x
  3. Step 3: Cross multiply
    735.13x = 1,007.14 × 707.45
  4. Step 4: Simplify right side
    735.13x = 712,497.66
  5. Step 5: Solve for x
    x = 712,497.66/735.13
  6. Step 6: Final answer
    x = 969.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.