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Finding the Fourth Proportional to 722.40, 1,089.12 and 714.24

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Solution

The fourth proportional to 722.40, 1,089.12 and 714.24 is: 1,076.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.40 : 1,089.12 = 714.24 : x
  2. Step 2: Convert to fraction form
    722.40/1,089.12 = 714.24/x
  3. Step 3: Cross multiply
    722.40x = 1,089.12 × 714.24
  4. Step 4: Simplify right side
    722.40x = 777,893.07
  5. Step 5: Solve for x
    x = 777,893.07/722.40
  6. Step 6: Final answer
    x = 1,076.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.