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Finding the Fourth Proportional to 714.99, 1,071.87 and 407.30

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Solution

The fourth proportional to 714.99, 1,071.87 and 407.30 is: 610.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.99 : 1,071.87 = 407.30 : x
  2. Step 2: Convert to fraction form
    714.99/1,071.87 = 407.30/x
  3. Step 3: Cross multiply
    714.99x = 1,071.87 × 407.30
  4. Step 4: Simplify right side
    714.99x = 436,567.29
  5. Step 5: Solve for x
    x = 436,567.29/714.99
  6. Step 6: Final answer
    x = 610.59

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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.