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Finding the Fourth Proportional to 740.14, 1,103.88 and 714.02

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Solution

The fourth proportional to 740.14, 1,103.88 and 714.02 is: 1,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.14 : 1,103.88 = 714.02 : x
  2. Step 2: Convert to fraction form
    740.14/1,103.88 = 714.02/x
  3. Step 3: Cross multiply
    740.14x = 1,103.88 × 714.02
  4. Step 4: Simplify right side
    740.14x = 788,185.54
  5. Step 5: Solve for x
    x = 788,185.54/740.14
  6. Step 6: Final answer
    x = 1,064.92

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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.