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Finding the Fourth Proportional to 740.04, 1,104.78 and 714.42

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Solution

The fourth proportional to 740.04, 1,104.78 and 714.42 is: 1,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.04 : 1,104.78 = 714.42 : x
  2. Step 2: Convert to fraction form
    740.04/1,104.78 = 714.42/x
  3. Step 3: Cross multiply
    740.04x = 1,104.78 × 714.42
  4. Step 4: Simplify right side
    740.04x = 789,276.93
  5. Step 5: Solve for x
    x = 789,276.93/740.04
  6. Step 6: Final answer
    x = 1,066.53

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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.