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Finding the Fourth Proportional to 714.21, 1,071.98 and 440.84

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Solution

The fourth proportional to 714.21, 1,071.98 and 440.84 is: 661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.21 : 1,071.98 = 440.84 : x
  2. Step 2: Convert to fraction form
    714.21/1,071.98 = 440.84/x
  3. Step 3: Cross multiply
    714.21x = 1,071.98 × 440.84
  4. Step 4: Simplify right side
    714.21x = 472,564.10
  5. Step 5: Solve for x
    x = 472,564.10/714.21
  6. Step 6: Final answer
    x = 661.66

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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.