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Finding the Fourth Proportional to 751.35, 1,037.43 and 684.93

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Solution

The fourth proportional to 751.35, 1,037.43 and 684.93 is: 945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.35 : 1,037.43 = 684.93 : x
  2. Step 2: Convert to fraction form
    751.35/1,037.43 = 684.93/x
  3. Step 3: Cross multiply
    751.35x = 1,037.43 × 684.93
  4. Step 4: Simplify right side
    751.35x = 710,566.93
  5. Step 5: Solve for x
    x = 710,566.93/751.35
  6. Step 6: Final answer
    x = 945.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.