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Finding the Fourth Proportional to 975.92, 1,346.72 and 556.24

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Solution

The fourth proportional to 975.92, 1,346.72 and 556.24 is: 767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.92 : 1,346.72 = 556.24 : x
  2. Step 2: Convert to fraction form
    975.92/1,346.72 = 556.24/x
  3. Step 3: Cross multiply
    975.92x = 1,346.72 × 556.24
  4. Step 4: Simplify right side
    975.92x = 749,099.53
  5. Step 5: Solve for x
    x = 749,099.53/975.92
  6. Step 6: Final answer
    x = 767.58

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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.