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Finding the Fourth Proportional to 972, 1,341.36 and 696.48

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Solution

The fourth proportional to 972, 1,341.36 and 696.48 is: 961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    972 : 1,341.36 = 696.48 : x
  2. Step 2: Convert to fraction form
    972/1,341.36 = 696.48/x
  3. Step 3: Cross multiply
    972x = 1,341.36 × 696.48
  4. Step 4: Simplify right side
    972x = 934,230.41
  5. Step 5: Solve for x
    x = 934,230.41/972
  6. Step 6: Final answer
    x = 961.14

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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.