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Finding the Fourth Proportional to 749.34, 1,117.08 and 707.94

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Solution

The fourth proportional to 749.34, 1,117.08 and 707.94 is: 1,055.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.34 : 1,117.08 = 707.94 : x
  2. Step 2: Convert to fraction form
    749.34/1,117.08 = 707.94/x
  3. Step 3: Cross multiply
    749.34x = 1,117.08 × 707.94
  4. Step 4: Simplify right side
    749.34x = 790,825.62
  5. Step 5: Solve for x
    x = 790,825.62/749.34
  6. Step 6: Final answer
    x = 1,055.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.