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Finding the Fourth Proportional to 714.40, 1,071.90 and 389.68

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Solution

The fourth proportional to 714.40, 1,071.90 and 389.68 is: 584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.40 : 1,071.90 = 389.68 : x
  2. Step 2: Convert to fraction form
    714.40/1,071.90 = 389.68/x
  3. Step 3: Cross multiply
    714.40x = 1,071.90 × 389.68
  4. Step 4: Simplify right side
    714.40x = 417,697.99
  5. Step 5: Solve for x
    x = 417,697.99/714.40
  6. Step 6: Final answer
    x = 584.68

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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.