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Finding the Fourth Proportional to 751.56, 1,034.89 and 707.72

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Solution

The fourth proportional to 751.56, 1,034.89 and 707.72 is: 974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.56 : 1,034.89 = 707.72 : x
  2. Step 2: Convert to fraction form
    751.56/1,034.89 = 707.72/x
  3. Step 3: Cross multiply
    751.56x = 1,034.89 × 707.72
  4. Step 4: Simplify right side
    751.56x = 732,412.35
  5. Step 5: Solve for x
    x = 732,412.35/751.56
  6. Step 6: Final answer
    x = 974.52

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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.