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Finding the Fourth Proportional to 975.66, 1,346.49 and 555.92

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Solution

The fourth proportional to 975.66, 1,346.49 and 555.92 is: 767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.66 : 1,346.49 = 555.92 : x
  2. Step 2: Convert to fraction form
    975.66/1,346.49 = 555.92/x
  3. Step 3: Cross multiply
    975.66x = 1,346.49 × 555.92
  4. Step 4: Simplify right side
    975.66x = 748,540.72
  5. Step 5: Solve for x
    x = 748,540.72/975.66
  6. Step 6: Final answer
    x = 767.21

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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.