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Finding the Fourth Proportional to 714.31, 1,070.08 and 405.23

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Solution

The fourth proportional to 714.31, 1,070.08 and 405.23 is: 607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.31 : 1,070.08 = 405.23 : x
  2. Step 2: Convert to fraction form
    714.31/1,070.08 = 405.23/x
  3. Step 3: Cross multiply
    714.31x = 1,070.08 × 405.23
  4. Step 4: Simplify right side
    714.31x = 433,622.15
  5. Step 5: Solve for x
    x = 433,622.15/714.31
  6. Step 6: Final answer
    x = 607.05

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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.