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Finding the Fourth Proportional to 715.30, 1,074.97 and 666.06

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Solution

The fourth proportional to 715.30, 1,074.97 and 666.06 is: 1,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.30 : 1,074.97 = 666.06 : x
  2. Step 2: Convert to fraction form
    715.30/1,074.97 = 666.06/x
  3. Step 3: Cross multiply
    715.30x = 1,074.97 × 666.06
  4. Step 4: Simplify right side
    715.30x = 715,994.52
  5. Step 5: Solve for x
    x = 715,994.52/715.30
  6. Step 6: Final answer
    x = 1,000.97

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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.