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Finding the Fourth Proportional to 1,066.78, 1,472.07 and 594.62

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Solution

The fourth proportional to 1,066.78, 1,472.07 and 594.62 is: 820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.78 : 1,472.07 = 594.62 : x
  2. Step 2: Convert to fraction form
    1,066.78/1,472.07 = 594.62/x
  3. Step 3: Cross multiply
    1,066.78x = 1,472.07 × 594.62
  4. Step 4: Simplify right side
    1,066.78x = 875,322.26
  5. Step 5: Solve for x
    x = 875,322.26/1,066.78
  6. Step 6: Final answer
    x = 820.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.