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Finding the Fourth Proportional to 714.58, 1,071.90 and 390.58

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Solution

The fourth proportional to 714.58, 1,071.90 and 390.58 is: 585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.58 : 1,071.90 = 390.58 : x
  2. Step 2: Convert to fraction form
    714.58/1,071.90 = 390.58/x
  3. Step 3: Cross multiply
    714.58x = 1,071.90 × 390.58
  4. Step 4: Simplify right side
    714.58x = 418,662.70
  5. Step 5: Solve for x
    x = 418,662.70/714.58
  6. Step 6: Final answer
    x = 585.89

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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.