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Finding the Fourth Proportional to 975.97, 1,346.91 and 556.18

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Solution

The fourth proportional to 975.97, 1,346.91 and 556.18 is: 767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.97 : 1,346.91 = 556.18 : x
  2. Step 2: Convert to fraction form
    975.97/1,346.91 = 556.18/x
  3. Step 3: Cross multiply
    975.97x = 1,346.91 × 556.18
  4. Step 4: Simplify right side
    975.97x = 749,129.66
  5. Step 5: Solve for x
    x = 749,129.66/975.97
  6. Step 6: Final answer
    x = 767.58

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