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Finding the Fourth Proportional to 712.50, 1,066.14 and 404.64

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Solution

The fourth proportional to 712.50, 1,066.14 and 404.64 is: 605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.50 : 1,066.14 = 404.64 : x
  2. Step 2: Convert to fraction form
    712.50/1,066.14 = 404.64/x
  3. Step 3: Cross multiply
    712.50x = 1,066.14 × 404.64
  4. Step 4: Simplify right side
    712.50x = 431,402.89
  5. Step 5: Solve for x
    x = 431,402.89/712.50
  6. Step 6: Final answer
    x = 605.48

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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.