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Finding the Fourth Proportional to 714.88, 1,070.32 and 367.46

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Solution

The fourth proportional to 714.88, 1,070.32 and 367.46 is: 550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.88 : 1,070.32 = 367.46 : x
  2. Step 2: Convert to fraction form
    714.88/1,070.32 = 367.46/x
  3. Step 3: Cross multiply
    714.88x = 1,070.32 × 367.46
  4. Step 4: Simplify right side
    714.88x = 393,301.49
  5. Step 5: Solve for x
    x = 393,301.49/714.88
  6. Step 6: Final answer
    x = 550.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.