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Finding the Fourth Proportional to 713.03, 1,069.70 and 405.03

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Solution

The fourth proportional to 713.03, 1,069.70 and 405.03 is: 607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.03 : 1,069.70 = 405.03 : x
  2. Step 2: Convert to fraction form
    713.03/1,069.70 = 405.03/x
  3. Step 3: Cross multiply
    713.03x = 1,069.70 × 405.03
  4. Step 4: Simplify right side
    713.03x = 433,253.22
  5. Step 5: Solve for x
    x = 433,253.22/713.03
  6. Step 6: Final answer
    x = 607.62

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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.