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Finding the Fourth Proportional to 710.82, 1,066.07 and 299.75

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Solution

The fourth proportional to 710.82, 1,066.07 and 299.75 is: 449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.82 : 1,066.07 = 299.75 : x
  2. Step 2: Convert to fraction form
    710.82/1,066.07 = 299.75/x
  3. Step 3: Cross multiply
    710.82x = 1,066.07 × 299.75
  4. Step 4: Simplify right side
    710.82x = 319,547.65
  5. Step 5: Solve for x
    x = 319,547.65/710.82
  6. Step 6: Final answer
    x = 449.55

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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.