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Finding the Fourth Proportional to 970.79, 1,340.44 and 597.94

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Solution

The fourth proportional to 970.79, 1,340.44 and 597.94 is: 825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.79 : 1,340.44 = 597.94 : x
  2. Step 2: Convert to fraction form
    970.79/1,340.44 = 597.94/x
  3. Step 3: Cross multiply
    970.79x = 1,340.44 × 597.94
  4. Step 4: Simplify right side
    970.79x = 801,497.85
  5. Step 5: Solve for x
    x = 801,497.85/970.79
  6. Step 6: Final answer
    x = 825.62

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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.